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Class 9 Mathematics - Introduction to Polynomials - Algebraic expressions Expert Quiz

Mathematics Introduction to Polynomials Algebraic expressions Expert Class 9 Topic Quiz

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Question 1/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (2x-2-3x+5-\(x^2+4x-7\)) को सरल किया जाए, तो परिणाम क्या होगा?

If (2x-2-3x+5-\(x^2+4x-7\)) is simplified, what is the result?

Explanation opens after your attempt
Correct Answer

A. \(x^2-7x+12\)

Explanation

Simple Explanation

कोष्ठक हटाते समय अंदर के चिन्ह बदलेंगे। इसलिए \(2x^2-3x+5-x^2-4x+7=x^2-7x+12\)। / Signs change when the bracket is subtracted. Thus \(2x^2-3x+5-x^2-4x+7=x^2-7x+12\).

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Question 2/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=-2) हो, तो \(3x^3-2x^2+5x-1\) का मान क्या होगा?

If (x=-2), what is the value of \(3x^3-2x^2+5x-1\)?

Explanation opens after your attempt
Correct Answer

A. (-43)

Explanation

Simple Explanation

((-2)3) ऋणात्मक और ((-2)2) धनात्मक होगा। मान (3(-8)-2(4)+5(-2)-1=-43) है। / ((-2)3) is negative and ((-2)2) is positive. The value is (3(-8)-2(4)+5(-2)-1=-43).

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Question 3/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(4a^2b-3ab^2+5a^2b+7ab^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(4a^2b-3ab^2+5a^2b+7ab^2\)?

Explanation opens after your attempt
Correct Answer

A. \(9a^2b+4ab^2\)

Explanation

Simple Explanation

\(a^2b\) वाले पद और \(ab^2\) वाले पद अलग-अलग मिलेंगे। इसलिए उत्तर \(9a^2b+4ab^2\) है। / Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore the answer is \(9a^2b+4ab^2\).

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Question 4/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक का सरल रूप (5p-18) है?

Which expression has the simplified form (5p-18)?

Explanation opens after your attempt
Correct Answer

A. (3(2p-5)-(p+3))

Explanation

Simple Explanation

(3(2p-5)-(p+3)=6p-15-p-3=5p-18)। विकल्प जाँचने के लिए पहले कोष्ठक खोलें। / (3(2p-5)-(p+3)=6p-15-p-3=5p-18). Open brackets first to check options.

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Question 5/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (m=3) और (n=-2), तो \(m^2n-2mn^2\) का मान क्या होगा?

If (m=3) and (n=-2), what is the value of \(m^2n-2mn^2\)?

Explanation opens after your attempt
Correct Answer

A. (-42)

Explanation

Simple Explanation

(m-2n=9(-2)=-18) और (2mn-2=2(3)(4)=24)। इसलिए कुल मान (-18-24=-42) है। / (m-2n=9(-2)=-18) and (2mn-2=2(3)(4)=24). So the total value is (-18-24=-42).

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Question 6/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(2(x+3y)-3(2x-y)+4x) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (2(x+3y)-3(2x-y)+4x)?

Explanation opens after your attempt
Correct Answer

B. (9y)

Explanation

Simple Explanation

खोलने पर (2x+6y-6x+3y+4x) मिलता है। (x) पद कट जाते हैं और (9y) बचता है। / Expanding gives (2x+6y-6x+3y+4x). The (x)-terms cancel and (9y) remains.

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Question 7/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस स्थिति में (kx+6x) का सरल रूप (11x) होगा?

For which value of (k) will (kx+6x) simplify to (11x)?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

समान पद मिलाने पर (kx+6x=(k+6)x)। (k+6=11) से (k=5) मिलेगा। / Combining like terms gives (kx+6x=(k+6)x). From (k+6=11), (k=5).

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Question 8/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(7u^2v-4uv^2+3u^2v-9uv^2\) में \(uv^2\) का गुणांक सरल करने के बाद क्या होगा?

After simplifying \(7u^2v-4uv^2+3u^2v-9uv^2\), what will be the coefficient of \(uv^2\)?

Explanation opens after your attempt
Correct Answer

B. (-13)

Explanation

Simple Explanation

\(uv^2\) वाले पद \(-4uv^2\) और \(-9uv^2\) हैं। इनका योग \(-13uv^2\) है। / The \(uv^2\) terms are \(-4uv^2\) and \(-9uv^2\). Their sum is \(-13uv^2\).

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Question 9/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन-सा व्यंजक (x) के वर्ग और (y) के वर्ग के योग में (2xy) घटाने को दर्शाता है?

Which expression represents subtracting (2xy) from the sum of the squares of (x) and (y)?

Explanation opens after your attempt
Correct Answer

C. \(x^2+y^2-2xy\)

Explanation

Simple Explanation

पहले वर्गों का योग \(x^2+y^2\) है और उसमें से (2xy) घटाना है। इसलिए \(x^2+y^2-2xy\) सही है। / First the sum of squares is \(x^2+y^2\), and (2xy) is subtracted from it. So \(x^2+y^2-2xy\) is correct.

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Question 10/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=1) और (y=-3), तो \(2x^2-xy+y^2\) का मान क्या होगा?

If (x=1) and (y=-3), what is the value of \(2x^2-xy+y^2\)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

(2(1)2-(1)(-3)+(-3)2=2+3+9=14)। ऋणात्मक गुणन और वर्ग पर ध्यान दें। / (2(1)2-(1)(-3)+(-3)2=2+3+9=14). Watch negative multiplication and squares carefully.

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Question 11/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(5x-2-\(2x^2-3x\)+(4x-7)) को सरल करने पर (x) का गुणांक क्या होगा?

After simplifying (5x-2-\(2x^2-3x\)+(4x-7)), what is the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

व्यंजक \(5x^2-2x^2+3x+4x-7=3x^2+7x-7\) बनेगा। इसलिए (x) का गुणांक (7) है। / The expression becomes \(5x^2-2x^2+3x+4x-7=3x^2+7x-7\). So the coefficient of (x) is (7).

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Question 12/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(a^2b\) के समान पदों का पूरा समूह है?

Which option is a complete group of like terms of \(a^2b\)?

Explanation opens after your attempt
Correct Answer

A. \(3a^2b\), \(-5a^2b\), \(8a^2b\)

Explanation

Simple Explanation

समान पदों में चर और उनकी घातें बिल्कुल समान होती हैं। पहले विकल्प में सभी का चर भाग \(a^2b\) है। / Like terms have exactly the same variables and powers. In the first option, every variable part is \(a^2b\).

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Question 13/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(3(2a-b)-2(a+3b)+5b) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3(2a-b)-2(a+3b)+5b)?

Explanation opens after your attempt
Correct Answer

A. (4a-4b)

Explanation

Simple Explanation

खोलने पर (6a-3b-2a-6b+5b) मिलता है। समान पद मिलाकर (4a-4b) मिलता है। / Expanding gives (6a-3b-2a-6b+5b). Combining like terms gives (4a-4b).

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Question 14/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि \(2x^2+kx-15\) में (x=3) रखने पर मान (0) मिलता है, तो (k) क्या होगा?

If substituting (x=3) in \(2x^2+kx-15\) gives (0), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (-1)

Explanation

Simple Explanation

(2(3)2+3k-15=0) से (18+3k-15=0)। इसलिए (3k=-3) और (k=-1)। / From (2(3)2+3k-15=0), (18+3k-15=0). Hence (3k=-3) and (k=-1).

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Question 15/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(4x^2y-6xy+2x^2y+9xy-5\) में कितने अलग-अलग प्रकार के पद सरल रूप में रहेंगे?

How many different types of terms remain in the simplified form of \(4x^2y-6xy+2x^2y+9xy-5\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

सरल रूप \(6x^2y+3xy-5\) है। इसमें \(x^2y\), (xy) और स्थिर पद तीन प्रकार हैं। / The simplified form is \(6x^2y+3xy-5\). It has three types: \(x^2y\), (xy), and a constant term.

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Question 16/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक में स्थिर पद नहीं है लेकिन दो अलग-अलग चर-पद हैं?

Which expression has no constant term but has two different variable terms?

Explanation opens after your attempt
Correct Answer

A. \(7x^2-3x\)

Explanation

Simple Explanation

\(7x^2-3x\) में दोनों पद चर वाले हैं और कोई स्थिर पद नहीं है। यह दो अलग-अलग घातों वाले पद रखता है। / In \(7x^2-3x\), both terms contain variables and there is no constant term. It has two terms with different powers.

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Question 17/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(2p(p-3)+4(p+1)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (2p(p-3)+4(p+1))?

Explanation opens after your attempt
Correct Answer

A. \(2p^2-2p+4\)

Explanation

Simple Explanation

(2p(p-3)=2p-2-6p) और (4(p+1)=4p+4)। मिलाने पर \(2p^2-2p+4\) मिलेगा। / (2p(p-3)=2p-2-6p) and (4(p+1)=4p+4). Combining gives \(2p^2-2p+4\).

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Question 18/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x+y=5) हो, तो (2(x+y)-3) का मान क्या होगा?

If (x+y=5), what is the value of (2(x+y)-3)?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

पूरे (x+y) को (5) से बदलें। तब (2(5)-3=7) होगा। / Replace the whole (x+y) by (5). Then (2(5)-3=7).

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Question 19/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(9r^2s-4rs+rs-5r^2s\) को सरल करने पर \(r^2s\) का गुणांक क्या होगा?

After simplifying \(9r^2s-4rs+rs-5r^2s\), what will be the coefficient of \(r^2s\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

\(r^2s\) वाले पद \(9r^2s\) और \(-5r^2s\) हैं। उनका योग \(4r^2s\) है। / The \(r^2s\) terms are \(9r^2s\) and \(-5r^2s\). Their sum is \(4r^2s\).

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Question 20/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन-सा व्यंजक (3x-2y) के (4) गुने में (x+y) जोड़ने को दर्शाता है?

Which expression represents adding (x+y) to four times (3x-2y)?

Explanation opens after your attempt
Correct Answer

A. (4(3x-2y)+x+y)

Explanation

Simple Explanation

पहले (3x-2y) का (4) गुना लेना है और फिर (x+y) जोड़ना है। इसलिए (4(3x-2y)+x+y) सही है। / First take four times (3x-2y), then add (x+y). Therefore (4(3x-2y)+x+y) is correct.

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Question 21/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(x^2+2x-3\) और \(2x^2-x+4\) का योग क्या होगा?

What is the sum of \(x^2+2x-3\) and \(2x^2-x+4\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2+x+1\)

Explanation

Simple Explanation

समान पद जोड़ने पर \(x^2+2x^2=3x^2\), (2x-x=x) और (-3+4=1)। / Adding like terms gives \(x^2+2x^2=3x^2\), (2x-x=x), and (-3+4=1).

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Question 22/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(5x^2-3x+8\) में से \(2x^2+4x-1\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(2x^2+4x-1\) from \(5x^2-3x+8\)?

Explanation opens after your attempt
Correct Answer

B. \(3x^2-7x+9\)

Explanation

Simple Explanation

घटाने पर (5x-2-3x+8-\(2x^2+4x-1\)) मिलेगा। सरल रूप \(3x^2-7x+9\) है। / Subtraction gives (5x-2-3x+8-\(2x^2+4x-1\)). The simplified form is \(3x^2-7x+9\).

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Question 23/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a-b=4) और (b=3), तो (2a-b) का मान क्या होगा?

If (a-b=4) and (b=3), what is the value of (2a-b)?

Explanation opens after your attempt
Correct Answer

B. (11)

Explanation

Simple Explanation

(a-b=4) और (b=3) से (a=7)। इसलिए (2a-b=14-3=11)। / From (a-b=4) and (b=3), (a=7). Therefore (2a-b=14-3=11).

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Question 24/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(3xy-2x+4xy+7x-5y) को सरल करने पर कौन-सा पद नहीं रहेगा?

After simplifying (3xy-2x+4xy+7x-5y), which term will not remain?

Explanation opens after your attempt
Correct Answer

D. (9x)

Explanation

Simple Explanation

सरल रूप (7xy+5x-5y) है। इसमें (9x) जैसा कोई पद नहीं है। / The simplified form is (7xy+5x-5y). There is no term like (9x).

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Question 25/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में (2x(x-4)+3x) का सही सरल रूप है?

Which option gives the correct simplified form of (2x(x-4)+3x)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-5x\)

Explanation

Simple Explanation

(2x(x-4)=2x-2-8x) है। इसमें (3x) जोड़ने पर \(2x^2-5x\) मिलता है। / (2x(x-4)=2x-2-8x). Adding (3x) gives \(2x^2-5x\).

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Question 26/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=2) पर \(x^2+kx+6\) का मान (16) है, तो (k) क्या होगा?

If the value of \(x^2+kx+6\) at (x=2) is (16), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

\(2^2+2k+6=16\) से (10+2k=16)। इसलिए (k=3) है। / From \(2^2+2k+6=16\), (10+2k=16). Hence (k=3).

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Question 27/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(2a^2-3ab+4b^2+a^2+5ab-b^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(2a^2-3ab+4b^2+a^2+5ab-b^2\)?

Explanation opens after your attempt
Correct Answer

A. \(3a^2+2ab+3b^2\)

Explanation

Simple Explanation

\(a^2\), (ab) और \(b^2\) वाले पद अलग-अलग मिलाएँ। सरल रूप \(3a^2+2ab+3b^2\) है। / Combine \(a^2\), (ab), and \(b^2\) terms separately. The simplified form is \(3a^2+2ab+3b^2\).

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Question 28/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(6x^3-4x^2+x-9\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(6x^3-4x^2+x-9\)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Explanation

Simple Explanation

\(x^2\) वाला पद \(-4x^2\) है। इसलिए गुणांक (-4) है। / The term containing \(x^2\) is \(-4x^2\). Therefore, the coefficient is (-4).

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Question 29/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक में (x) और (y) दोनों की कुल घात (5) है?

In which expression is the total power of (x) and (y) equal to (5)?

Explanation opens after your attempt
Correct Answer

A. \(x^2y^3\)

Explanation

Simple Explanation

\(x^2y^3\) में कुल घात (2+3=5) है। बहु-चर पद में घातें जोड़कर कुल घात मिलती है। / In \(x^2y^3\), the total power is (2+3=5). In a multivariable term, add the powers to get the total power.

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Question 30/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x-y=6) और (x+y=10), तो (2x) का मान क्या होगा?

If (x-y=6) and (x+y=10), what is the value of (2x)?

Explanation opens after your attempt
Correct Answer

A. (16)

Explanation

Simple Explanation

दोनों समीकरणों को जोड़ने पर (2x=16) मिलता है। ऐसे प्रश्नों में दिए गए पूरे व्यंजकों को जोड़कर देखें। / Adding the two equations gives (2x=16). In such questions, try adding the given expressions.

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Question 31/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(4(2x-y)-3(x+2y)+5y) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4(2x-y)-3(x+2y)+5y)?

Explanation opens after your attempt
Correct Answer

A. (5x-5y)

Explanation

Simple Explanation

खोलने पर (8x-4y-3x-6y+5y) मिलता है। समान पद मिलाकर (5x-5y) बनेगा। / Expanding gives (8x-4y-3x-6y+5y). Combining like terms gives (5x-5y).

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Question 32/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(x^2+px+12\) में यदि (x) का गुणांक (-7) है, तो (p) क्या है?

In \(x^2+px+12\), if the coefficient of (x) is (-7), what is (p)?

Explanation opens after your attempt
Correct Answer

B. (-7)

Explanation

Simple Explanation

(px) में (x) का गुणांक (p) है। इसलिए (p=-7) होगा। / In (px), the coefficient of (x) is (p). Therefore, (p=-7).

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Question 33/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन-सा व्यंजक \(2x^2-3x+1\) में \(x^2+x-4\) जोड़ने पर मिलता है?

Which expression is obtained by adding \(x^2+x-4\) to \(2x^2-3x+1\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-2x-3\)

Explanation

Simple Explanation

समान पद जोड़ें: \(2x^2+x^2=3x^2\), (-3x+x=-2x), (1-4=-3)। / Add like terms: \(2x^2+x^2=3x^2\), (-3x+x=-2x), and (1-4=-3).

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Question 34/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a=2), (b=-1), तो \(a^3+3a^2b+2b^3\) का मान क्या होगा?

If (a=2), (b=-1), what is the value of \(a^3+3a^2b+2b^3\)?

Explanation opens after your attempt
Correct Answer

A. (-6)

Explanation

Simple Explanation

मान रखने पर (8+3(4)(-1)+2(-1)=-6) मिलता है। घात और चिन्ह दोनों ध्यान से लें। / Substitution gives (8+3(4)(-1)+2(-1)=-6). Handle powers and signs carefully.

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Question 35/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(5x-(2x-(3x-4))) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (5x-(2x-(3x-4)))?

Explanation opens after your attempt
Correct Answer

A. (6x-4)

Explanation

Simple Explanation

अंदर से (2x-(3x-4)=-x+4) है। इसलिए (5x-(-x+4)=6x-4)। / Inside, (2x-(3x-4)=-x+4). Hence (5x-(-x+4)=6x-4).

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Question 36/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन-सा पद \(6x^2yz\) का समान पद है?

Which term is a like term of \(6x^2yz\)?

Explanation opens after your attempt
Correct Answer

A. \(9x^2yz\)

Explanation

Simple Explanation

समान पद में चर भाग \(x^2yz\) ही रहना चाहिए। \(9x^2yz\) का चर भाग समान है। / A like term must keep the variable part \(x^2yz\). \(9x^2yz\) has the same variable part.

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Question 37/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(3x^2-5xy+2y^2-7x^2+xy-y^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(3x^2-5xy+2y^2-7x^2+xy-y^2\)?

Explanation opens after your attempt
Correct Answer

A. \(-4x^2-4xy+y^2\)

Explanation

Simple Explanation

\(3x^2-7x^2=-4x^2\), (-5xy+xy=-4xy), और \(2y^2-y^2=y^2\)। / \(3x^2-7x^2=-4x^2\), (-5xy+xy=-4xy), and \(2y^2-y^2=y^2\).

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Question 38/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=3), तो \(\frac{x^2+2x-3}{x}\) का मान क्या होगा?

If (x=3), what is the value of \(\frac{x^2+2x-3}{x}\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

अंश (32+2(3)-3=12) है। फिर \(\frac{12}{3}=4\) मिलेगा। / The numerator is (32+2(3)-3=12). Then \(\frac{12}{3}=4\).

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Question 39/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस व्यंजक का मान (x=0) पर स्थिर पद के बराबर होता है?

For which expression is the value at (x=0) equal to its constant term?

Explanation opens after your attempt
Correct Answer

A. \(7x^2-2x+9\)

Explanation

Simple Explanation

(x=0) रखने पर चर वाले पद शून्य हो जाते हैं। \(7x^2-2x+9\) का मान (9) यानी स्थिर पद है। / When (x=0), variable terms become zero. The value of \(7x^2-2x+9\) is (9), the constant term.

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Question 40/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(2(3a-2b)+5(a+b)-4a) को सरल करने पर (b) का गुणांक क्या होगा?

After simplifying (2(3a-2b)+5(a+b)-4a), what will be the coefficient of (b)?

Explanation opens after your attempt
Correct Answer

A. (1)

Explanation

Simple Explanation

सरल रूप (6a-4b+5a+5b-4a=7a+b) है। इसलिए (b) का गुणांक (1) है। / The simplified form is (6a-4b+5a+5b-4a=7a+b). So the coefficient of (b) is (1).

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Question 41/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि \(x^2=9\) और (x=3), तो \(4x^2-5x+2\) का मान क्या होगा?

If \(x^2=9\) and (x=3), what is the value of \(4x^2-5x+2\)?

Explanation opens after your attempt
Correct Answer

A. (23)

Explanation

Simple Explanation

सीधे \(x^2=9\) और (x=3) रखें। (4(9)-5(3)+2=23)। / Substitute \(x^2=9\) and (x=3) directly. (4(9)-5(3)+2=23).

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Question 42/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

कौन-सा व्यंजक \(2x^2-3xy+y^2\) में \(-x^2+5xy-4y^2\) जोड़ने पर मिलता है?

Which expression is obtained by adding \(-x^2+5xy-4y^2\) to \(2x^2-3xy+y^2\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+2xy-3y^2\)

Explanation

Simple Explanation

समान पद जोड़ने पर \(2x^2-x^2=x^2\), (-3xy+5xy=2xy), और \(y^2-4y^2=-3y^2\)। / Adding like terms gives \(2x^2-x^2=x^2\), (-3xy+5xy=2xy), and \(y^2-4y^2=-3y^2\).

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Question 43/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (3x-2=10), तो \(x^2+x\) का मान क्या होगा?

If (3x-2=10), what is the value of \(x^2+x\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

(3x=12) से (x=4) है। इसलिए \(x^2+x=16+4=20\)। / From (3x=12), (x=4). Therefore \(x^2+x=16+4=20\).

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Question 44/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(10x-2-3x+1-\(4x^2-8x+6\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (10x-2-3x+1-\(4x^2-8x+6\))?

Explanation opens after your attempt
Correct Answer

A. \(6x^2+5x-5\)

Explanation

Simple Explanation

घटाने पर \(10x^2-3x+1-4x^2+8x-6\) बनेगा। सरल रूप \(6x^2+5x-5\) है। / Subtraction gives \(10x^2-3x+1-4x^2+8x-6\). The simplified form is \(6x^2+5x-5\).

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Question 45/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

किस विकल्प में \(x^2y\) और \(xy^2\) को समान पद मानने की गलती सही तरह से पकड़ी गई है?

Which option correctly identifies the mistake in treating \(x^2y\) and \(xy^2\) as like terms?

Explanation opens after your attempt
Correct Answer

C. घातें अलग हैं इसलिए असमान हैंThey are unlike because powers are different

Explanation

Simple Explanation

समान पदों के लिए प्रत्येक चर की घात समान होनी चाहिए। \(x^2y\) और \(xy^2\) में घातें अलग हैं। / For like terms, the power of each variable must be the same. In \(x^2y\) and \(xy^2\), the powers are different.

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Question 46/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (a+b=7) और (ab=10), तो (3(a+b)-2ab) का मान क्या होगा?

If (a+b=7) and (ab=10), what is the value of (3(a+b)-2ab)?

Explanation opens after your attempt
Correct Answer

A. (1)

Explanation

Simple Explanation

दिए हुए पूरे व्यंजकों को सीधे रखें। (3(7)-2(10)=21-20=1)। / Substitute the given whole expressions directly. (3(7)-2(10)=21-20=1).

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Question 47/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

(4x(x+2)-2\(3x^2-x\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4x(x+2)-2\(3x^2-x\))?

Explanation opens after your attempt
Correct Answer

A. \(-2x^2+10x\)

Explanation

Simple Explanation

(4x(x+2)=4x-2+8x) और (-2\(3x^2-x\)=-6x-2+2x)। कुल \(-2x^2+10x\) है। / (4x(x+2)=4x-2+8x) and (-2\(3x^2-x\)=-6x-2+2x). The total is \(-2x^2+10x\).

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Question 48/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(2x^2+3x+5\) में से कौन-सा पद हटाने पर व्यंजक में स्थिर पद नहीं रहेगा?

Which term should be removed from \(2x^2+3x+5\) so that the expression has no constant term?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

स्थिर पद वह है जिसमें कोई चर नहीं होता। (5) हटाने पर केवल चर वाले पद बचते हैं। / The constant term has no variable. Removing (5) leaves only variable terms.

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Question 49/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

यदि (x=2), (y=3), तो \(x^2y+xy^2\) और (xy(x+y)) के बारे में सही कथन कौन-सा है?

If (x=2), (y=3), which statement is correct about \(x^2y+xy^2\) and (xy(x+y))?

Explanation opens after your attempt
Correct Answer

C. दोनों बराबर हैंBoth are equal

Explanation

Simple Explanation

(x-2y+xy-2=xy(x+y)) समान रूप हैं। दिए मान रखने पर दोनों (30) देते हैं। / (x-2y+xy-2=xy(x+y)) are equivalent forms. Substitution gives (30) for both.

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Question 50/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 23

\(7x^2-2xy+3y^2-4x^2+6xy-8y^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(7x^2-2xy+3y^2-4x^2+6xy-8y^2\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2+4xy-5y^2\)

Explanation

Simple Explanation

\(7x^2-4x^2=3x^2\), (-2xy+6xy=4xy), और \(3y^2-8y^2=-5y^2\)। / \(7x^2-4x^2=3x^2\), (-2xy+6xy=4xy), and \(3y^2-8y^2=-5y^2\).

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Question 51/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(3x-2-2x+7-\(x^2+5x-4\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3x-2-2x+7-\(x^2+5x-4\))?

Explanation opens after your attempt
Correct Answer

B. \(2x^2-7x+11\)

Explanation

Simple Explanation

कोष्ठक हटाते समय अंदर के चिन्ह बदलते हैं। सरल रूप \(3x^2-2x+7-x^2-5x+4=2x^2-7x+11\) है। / Signs inside change when the bracket is subtracted. The simplified form is \(3x^2-2x+7-x^2-5x+4=2x^2-7x+11\).

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Question 52/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=-1) हो, तो \(2x^4-3x^3+x-5\) का मान क्या होगा?

If (x=-1), what is the value of \(2x^4-3x^3+x-5\)?

Explanation opens after your attempt
Correct Answer

D. (-1)

Explanation

Simple Explanation

सम घात में मान धनात्मक और विषम घात में ऋणात्मक रहता है। मान (2(1)-3(-1)-1-5=-1) है। / Even powers give positive values and odd powers keep the negative sign. The value is (2(1)-3(-1)-1-5=-1).

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Question 53/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(6a^2b+2ab^2-4a^2b+9ab^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(6a^2b+2ab^2-4a^2b+9ab^2\)?

Explanation opens after your attempt
Correct Answer

C. \(2a^2b+11ab^2\)

Explanation

Simple Explanation

\(a^2b\) वाले पद और \(ab^2\) वाले पद अलग-अलग मिलते हैं। इसलिए परिणाम \(2a^2b+11ab^2\) है। / Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore, the result is \(2a^2b+11ab^2\).

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Question 54/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि ((k-2)x+5x) का सरल रूप (9x) है, तो (k) का मान क्या होगा?

If the simplified form of ((k-2)x+5x) is (9x), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

समान पद मिलाने पर ((k-2+5)x=(k+3)x) मिलता है। (k+3=9) से (k=6) होगा। / Combining like terms gives ((k-2+5)x=(k+3)x). From (k+3=9), (k=6).

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Question 55/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x-y=8) और (x+y=14), तो (x) का मान क्या होगा?

If (x-y=8) and (x+y=14), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

दोनों दिए हुए व्यंजकों को जोड़ने पर (2x=22) मिलता है। इसलिए (x=11) है। / Adding the two given expressions gives (2x=22). Therefore, (x=11).

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Question 56/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(4(3p-2q)-2(5p+q)+7q) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4(3p-2q)-2(5p+q)+7q)?

Explanation opens after your attempt
Correct Answer

A. (2p-3q)

Explanation

Simple Explanation

खोलने पर (12p-8q-10p-2q+7q) मिलता है। समान पद मिलाकर (2p-3q) बनेगा। / Expanding gives (12p-8q-10p-2q+7q). Combining like terms gives (2p-3q).

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Question 57/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (m=2) और (n=-3), तो \(2m^2n+mn^2\) का मान क्या होगा?

If (m=2) and (n=-3), what is the value of \(2m^2n+mn^2\)?

Explanation opens after your attempt
Correct Answer

B. (-6)

Explanation

Simple Explanation

(2m-2n=2(4)(-3)=-24) और (mn-2=2(9)=18) है। कुल मान (-6) है। / (2m-2n=2(4)(-3)=-24) and (mn-2=2(9)=18). The total value is (-6).

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Question 58/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (a) और (b) के योग के वर्ग में से (ab) का (3) गुना घटाने को दर्शाता है?

Which expression represents subtracting (3) times (ab) from the square of the sum of (a) and (b)?

Explanation opens after your attempt
Correct Answer

C. ((a+b)2-3ab)

Explanation

Simple Explanation

पहले योग (a+b) का वर्ग लिया जाएगा और फिर (3ab) घटेगा। इसलिए ((a+b)2-3ab) सही है। / First square the sum (a+b), then subtract (3ab). Therefore, ((a+b)2-3ab) is correct.

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Question 59/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(8x^2y-5xy^2-3x^2y+7xy^2\) में \(xy^2\) का गुणांक सरल करने के बाद क्या होगा?

After simplifying \(8x^2y-5xy^2-3x^2y+7xy^2\), what will be the coefficient of \(xy^2\)?

Explanation opens after your attempt
Correct Answer

A. (2)

Explanation

Simple Explanation

\(xy^2\) वाले पद \(-5xy^2\) और \(7xy^2\) हैं। इनका योग \(2xy^2\) है। / The \(xy^2\) terms are \(-5xy^2\) and \(7xy^2\). Their sum is \(2xy^2\).

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Question 60/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(5x-(2x-(4x+3))) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (5x-(2x-(4x+3)))?

Explanation opens after your attempt
Correct Answer

C. (7x+3)

Explanation

Simple Explanation

अंदर (2x-(4x+3)=-2x-3) है। इसलिए (5x-(-2x-3)=7x+3)। / Inside, (2x-(4x+3)=-2x-3). Hence (5x-(-2x-3)=7x+3).

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Question 61/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=2) पर \(kx^2-5x+3\) का मान (9) है, तो (k) क्या होगा?

If the value of \(kx^2-5x+3\) at (x=2) is (9), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

मान रखने पर (4k-10+3=9) मिलता है। इससे (4k=16) और (k=4) होगा। / Substitution gives (4k-10+3=9). Thus (4k=16) and (k=4).

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Question 62/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस विकल्प में \(x^2yz\) के समान पदों का सही समूह है?

Which option gives the correct group of like terms of \(x^2yz\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2yz\), \(-7x^2yz\), \(11x^2yz\)

Explanation

Simple Explanation

समान पदों में चर और उनकी घातें बिल्कुल समान होती हैं। पहले विकल्प में सभी पदों का चर भाग \(x^2yz\) है। / Like terms have exactly the same variables and powers. In the first option, every term has variable part \(x^2yz\).

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Question 63/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(2a-2+3ab-b-2-\(a^2-4ab+2b^2\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (2a-2+3ab-b-2-\(a^2-4ab+2b^2\))?

Explanation opens after your attempt
Correct Answer

B. \(a^2+7ab-3b^2\)

Explanation

Simple Explanation

घटाने वाले कोष्ठक के चिन्ह बदलेंगे। सरल रूप \(2a^2+3ab-b^2-a^2+4ab-2b^2=a^2+7ab-3b^2\) है। / Signs change in the subtracted bracket. The simplified form is \(2a^2+3ab-b^2-a^2+4ab-2b^2=a^2+7ab-3b^2\).

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Question 64/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x+y=9) और (xy=14), तो (2(x+y)+3xy) का मान क्या होगा?

If (x+y=9) and (xy=14), what is the value of (2(x+y)+3xy)?

Explanation opens after your attempt
Correct Answer

C. (60)

Explanation

Simple Explanation

दिए हुए पूरे व्यंजकों को सीधे रखें। (2(9)+3(14)=18+42=60)। / Substitute the given whole expressions directly. (2(9)+3(14)=18+42=60).

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Question 65/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(3r(r+2)-2r(4-r)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3r(r+2)-2r(4-r))?

Explanation opens after your attempt
Correct Answer

A. \(5r^2-2r\)

Explanation

Simple Explanation

(3r(r+2)=3r-2+6r) और (-2r(4-r)=-8r+2r-2) है। कुल \(5r^2-2r\) मिलेगा। / (3r(r+2)=3r-2+6r) and (-2r(4-r)=-8r+2r-2). The total is \(5r^2-2r\).

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Question 66/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(7p^2q-2pq+5pq-4p^2q+9\) को सरल करने पर कितने पद रहेंगे?

How many terms remain after simplifying \(7p^2q-2pq+5pq-4p^2q+9\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

सरल रूप \(3p^2q+3pq+9\) है। इसमें तीन पद रहेंगे। / The simplified form is \(3p^2q+3pq+9\). It has three terms.

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Question 67/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक में (m) की घात (2) और (n) की घात (3) है?

In which expression is the power of (m) equal to (2) and the power of (n) equal to (3)?

Explanation opens after your attempt
Correct Answer

B. \(m^2n^3\)

Explanation

Simple Explanation

\(m^2n^3\) में (m) की घात (2) और (n) की घात (3) है। हर चर की घात अलग देखें। / In \(m^2n^3\), the power of (m) is (2) and the power of (n) is (3). Check each variable's power separately.

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Question 68/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=-2) और (y=4), तो \(x^2y-xy^2\) का मान क्या होगा?

If (x=-2) and (y=4), what is the value of \(x^2y-xy^2\)?

Explanation opens after your attempt
Correct Answer

A. (48)

Explanation

Simple Explanation

(x-2y=4(4)=16) और (xy-2=(-2)(16)=-32) है। इसलिए (16-(-32)=48)। / (x-2y=4(4)=16) and (xy-2=(-2)(16)=-32). Therefore, (16-(-32)=48).

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Question 69/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(6x^2-3x+2\) और \(-2x^2+7x-9\) का योग क्या होगा?

What is the sum of \(6x^2-3x+2\) and \(-2x^2+7x-9\)?

Explanation opens after your attempt
Correct Answer

A. \(4x^2+4x-7\)

Explanation

Simple Explanation

समान पद जोड़ने पर \(6x^2-2x^2=4x^2\), (-3x+7x=4x), और (2-9=-7)। / Adding like terms gives \(6x^2-2x^2=4x^2\), (-3x+7x=4x), and (2-9=-7).

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Question 70/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (3x+2=17), तो \(x^2-1\) का मान क्या होगा?

If (3x+2=17), what is the value of \(x^2-1\)?

Explanation opens after your attempt
Correct Answer

B. (24)

Explanation

Simple Explanation

(3x=15) से (x=5) है। इसलिए \(x^2-1=25-1=24\)। / From (3x=15), (x=5). Therefore, \(x^2-1=25-1=24\).

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Question 71/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा पद \(4a^3b^2\) का समान पद है?

Which term is a like term of \(4a^3b^2\)?

Explanation opens after your attempt
Correct Answer

B. \(-5a^3b^2\)

Explanation

Simple Explanation

समान पद में चर भाग \(a^3b^2\) ही होना चाहिए। \(-5a^3b^2\) का चर भाग समान है। / A like term must have the same variable part \(a^3b^2\). \(-5a^3b^2\) has the same variable part.

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Question 72/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(4x-2-5xy+2y-2-\(x^2+3xy-6y^2\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4x-2-5xy+2y-2-\(x^2+3xy-6y^2\))?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-8xy+8y^2\)

Explanation

Simple Explanation

कोष्ठक घटाने पर सभी अंदरूनी चिन्ह बदलते हैं। सरल रूप \(3x^2-8xy+8y^2\) है। / When the bracket is subtracted, all inside signs change. The simplified form is \(3x^2-8xy+8y^2\).

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Question 73/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (a-b=5) और (a+b=13), तो (b) का मान क्या होगा?

If (a-b=5) and (a+b=13), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

दूसरे व्यंजक में से पहला घटाने पर (2b=8) मिलता है। इसलिए (b=4) है। / Subtracting the first expression from the second gives (2b=8). Therefore, (b=4).

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Question 74/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(2x^3-5x^2+x+7\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(2x^3-5x^2+x+7\)?

Explanation opens after your attempt
Correct Answer

B. (-5)

Explanation

Simple Explanation

\(x^2\) वाला पद \(-5x^2\) है। इसलिए गुणांक (-5) है। / The term containing \(x^2\) is \(-5x^2\). Therefore, the coefficient is (-5).

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Question 75/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(3(2x+y)-4(x-2y)+x) को सरल करने पर (y) का गुणांक क्या होगा?

After simplifying (3(2x+y)-4(x-2y)+x), what will be the coefficient of (y)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

सरल रूप (6x+3y-4x+8y+x=3x+11y) है। इसलिए (y) का गुणांक (11) है। / The simplified form is (6x+3y-4x+8y+x=3x+11y). So the coefficient of (y) is (11).

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Question 76/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक में कुल घात (6) है?

Which expression has total degree (6)?

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Correct Answer

A. \(x^2y^4\)

Explanation

Simple Explanation

\(x^2y^4\) में कुल घात (2+4=6) है। बहु-चर पद में घातों को जोड़ें। / In \(x^2y^4\), the total degree is (2+4=6). Add powers in a multivariable term.

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Question 77/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x+y=4) और (x-y=2), तो \(x^2-y^2\) का मान क्या होगा?

If (x+y=4) and (x-y=2), what is the value of \(x^2-y^2\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(x-2-y-2=(x-y)(x+y)) होता है। इसलिए मान \(2\cdot4=8\) है। / (x-2-y-2=(x-y)(x+y)). Therefore, the value is \(2\cdot4=8\).

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Question 78/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(5u^2v-3uv+2u^2v+6uv-4\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(5u^2v-3uv+2u^2v+6uv-4\)?

Explanation opens after your attempt
Correct Answer

A. \(7u^2v+3uv-4\)

Explanation

Simple Explanation

\(5u^2v+2u^2v=7u^2v\) और (-3uv+6uv=3uv)। स्थिर पद (-4) अलग रहेगा। / \(5u^2v+2u^2v=7u^2v\) and (-3uv+6uv=3uv). The constant term (-4) remains separate.

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Question 79/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=-3), तो \(\frac{x^3+2x^2-6}{x}\) का मान क्या होगा?

If (x=-3), what is the value of \(\frac{x^3+2x^2-6}{x}\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

अंश ((-27)+18-6=-15) है। \(\frac{-15}{-3}=5\) मिलेगा। / The numerator is ((-27)+18-6=-15). Then \(\frac{-15}{-3}=5\).

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Question 80/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक \(2x^2-5x+3\) में \(x^2+4x-8\) जोड़ने पर मिलता है?

Which expression is obtained by adding \(x^2+4x-8\) to \(2x^2-5x+3\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-x-5\)

Explanation

Simple Explanation

समान पद जोड़ें: \(2x^2+x^2=3x^2\), (-5x+4x=-x), और (3-8=-5)। / Add like terms: \(2x^2+x^2=3x^2\), (-5x+4x=-x), and (3-8=-5).

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Question 81/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(9x^2-4x+1\) में से \(3x^2+2x-5\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(3x^2+2x-5\) from \(9x^2-4x+1\)?

Explanation opens after your attempt
Correct Answer

C. \(6x^2-6x+6\)

Explanation

Simple Explanation

घटाने पर \(9x^2-4x+1-3x^2-2x+5\) मिलेगा। इसका सरल रूप \(6x^2-6x+6\) है। / Subtraction gives \(9x^2-4x+1-3x^2-2x+5\). Its simplified form is \(6x^2-6x+6\).

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Question 82/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा कथन \(x^2y\) और \(xy^2\) के लिए सही है?

Which statement is correct for \(x^2y\) and \(xy^2\)?

Explanation opens after your attempt
Correct Answer

B. ये असमान पद हैं क्योंकि घातें अलग हैंThey are unlike terms because powers are different

Explanation

Simple Explanation

दोनों में (x) और (y) हैं पर प्रत्येक चर की घात समान नहीं है। इसलिए ये असमान पद हैं। / Both contain (x) and (y), but the power of each variable is not the same. So they are unlike terms.

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Question 83/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (a=1), (b=-2), तो \(4a^2b-3ab^2+b^3\) का मान क्या होगा?

If (a=1), (b=-2), what is the value of \(4a^2b-3ab^2+b^3\)?

Explanation opens after your attempt
Correct Answer

A. (-28)

Explanation

Simple Explanation

(4(1)(-2)-3(1)(4)+(-8)=-8-12-8=-28)। घात और चिन्ह दोनों सावधानी से लें। / (4(1)(-2)-3(1)(4)+(-8)=-8-12-8=-28). Handle powers and signs carefully.

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Question 84/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

(2(4x-3y)-5(x-y)+3y) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (2(4x-3y)-5(x-y)+3y)?

Explanation opens after your attempt
Correct Answer

A. (3x+2y)

Explanation

Simple Explanation

खोलने पर (8x-6y-5x+5y+3y) मिलता है। समान पद मिलाकर (3x+2y) बनेगा। / Expanding gives (8x-6y-5x+5y+3y). Combining like terms gives (3x+2y).

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Question 85/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(x^2+kx+16\) में यदि (x) का गुणांक (12) है, तो (k-5) का मान क्या होगा?

In \(x^2+kx+16\), if the coefficient of (x) is (12), what is the value of (k-5)?

Explanation opens after your attempt
Correct Answer

A. (7)

Explanation

Simple Explanation

(kx) में (x) का गुणांक (k) है, इसलिए (k=12)। अतः (k-5=7)। / In (kx), the coefficient of (x) is (k), so (k=12). Hence (k-5=7).

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Question 86/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा व्यंजक (x) के वर्ग के (3) गुने और (y) के दोगुने के अंतर को दर्शाता है?

Which expression represents the difference between three times the square of (x) and twice (y)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-2y\)

Explanation

Simple Explanation

(x) के वर्ग का (3) गुना \(3x^2\) है और (y) का दोगुना (2y) है। अंतर \(3x^2-2y\) होगा। / Three times the square of (x) is \(3x^2\), and twice (y) is (2y). The difference is \(3x^2-2y\).

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Question 87/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(4x^2-3xy+2y^2+5xy-7y^2-x^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(4x^2-3xy+2y^2+5xy-7y^2-x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2+2xy-5y^2\)

Explanation

Simple Explanation

\(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), और \(2y^2-7y^2=-5y^2\)। / \(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), and \(2y^2-7y^2=-5y^2\).

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Question 88/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=3), तो (2x(x-5)+4x-2) का मान क्या होगा?

If (x=3), what is the value of (2x(x-5)+4x-2)?

Explanation opens after your attempt
Correct Answer

B. (24)

Explanation

Simple Explanation

पहले सरल करें (2x(x-5)+4x-2=6x-2-10x)। (x=3) रखने पर (54-30=24)। / First simplify (2x(x-5)+4x-2=6x-2-10x). Substituting (x=3) gives (54-30=24).

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Question 89/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(3x^2y+2xy^2-5x^2y+8xy^2\) को सरल करने पर \(x^2y\) का गुणांक क्या होगा?

After simplifying \(3x^2y+2xy^2-5x^2y+8xy^2\), what will be the coefficient of \(x^2y\)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

\(x^2y\) वाले पद \(3x^2y\) और \(-5x^2y\) हैं। इनका योग \(-2x^2y\) है। / The \(x^2y\) terms are \(3x^2y\) and \(-5x^2y\). Their sum is \(-2x^2y\).

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Question 90/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक का सरल रूप \(4x^2-9x\) है?

Which expression has the simplified form \(4x^2-9x\)?

Explanation opens after your attempt
Correct Answer

A. (x(4x-9))

Explanation

Simple Explanation

(x(4x-9)) खोलने पर \(4x^2-9x\) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ। / Expanding (x(4x-9)) gives \(4x^2-9x\). Use the distributive rule to check options.

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Question 91/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (p+q=6) और (p-q=2), तो (3p-q) का मान क्या होगा?

If (p+q=6) and (p-q=2), what is the value of (3p-q)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

दोनों समीकरणों से (p=4) और (q=2) मिलता है। इसलिए (3p-q=12-2=10)। / The two equations give (p=4) and (q=2). Therefore, (3p-q=12-2=10).

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Question 92/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(5a^2-2ab+3b^2\) में से \(2a^2+5ab-b^2\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(2a^2+5ab-b^2\) from \(5a^2-2ab+3b^2\)?

Explanation opens after your attempt
Correct Answer

A. \(3a^2-7ab+4b^2\)

Explanation

Simple Explanation

घटाने पर \(5a^2-2ab+3b^2-2a^2-5ab+b^2\) मिलता है। सरल रूप \(3a^2-7ab+4b^2\) है। / Subtraction gives \(5a^2-2ab+3b^2-2a^2-5ab+b^2\). The simplified form is \(3a^2-7ab+4b^2\).

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Question 93/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(2x^2+5x+3\) में से कौन-सा पद हटाने पर केवल (2) पदों वाला व्यंजक बचेगा और स्थिर पद भी नहीं रहेगा?

Which term should be removed from \(2x^2+5x+3\) so that only (2) terms remain and no constant term remains?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

स्थिर पद (3) है। उसे हटाने पर \(2x^2+5x\) बचेगा जिसमें (2) चर पद हैं। / The constant term is (3). Removing it leaves \(2x^2+5x\), which has (2) variable terms.

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Question 94/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=-1), (y=2), तो \(x^2y^2-2xy\) का मान क्या होगा?

If (x=-1), (y=2), what is the value of \(x^2y^2-2xy\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

\(x^2y^2=1\cdot4=4\) और (2xy=2(-1)(2)=-4)। इसलिए (4-(-4)=8)। / \(x^2y^2=1\cdot4=4\) and (2xy=2(-1)(2)=-4). Therefore, (4-(-4)=8).

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Question 95/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

कौन-सा विकल्प (2(3x-y)+4(x+2y)-5x) के बराबर है?

Which option is equal to (2(3x-y)+4(x+2y)-5x)?

Explanation opens after your attempt
Correct Answer

A. (5x+6y)

Explanation

Simple Explanation

खोलने पर (6x-2y+4x+8y-5x) मिलता है। समान पद मिलाकर (5x+6y) बनेगा। / Expanding gives (6x-2y+4x+8y-5x). Combining like terms gives (5x+6y).

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Question 96/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(x^3y^2\) में कुल घात और (y) की घात का अंतर क्या है?

What is the difference between the total degree and the power of (y) in \(x^3y^2\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

कुल घात (3+2=5) है और (y) की घात (2) है। अंतर (5-2=3) होगा। / The total degree is (3+2=5), and the power of (y) is (2). The difference is (5-2=3).

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Question 97/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि \(x^2+x=20\), तो \(3x^2+3x-4\) का मान क्या होगा?

If \(x^2+x=20\), what is the value of \(3x^2+3x-4\)?

Explanation opens after your attempt
Correct Answer

A. (56)

Explanation

Simple Explanation

(3x-2+3x-4=3\(x^2+x\)-4) है। दिए मान से (3(20)-4=56)। / (3x-2+3x-4=3\(x^2+x\)-4). Using the given value, (3(20)-4=56).

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Question 98/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(7x^2y-3xy+4x^2y+2xy-6\) को सरल करने पर कौन-सा पद नहीं रहेगा?

After simplifying \(7x^2y-3xy+4x^2y+2xy-6\), which term will not remain?

Explanation opens after your attempt
Correct Answer

D. (5xy)

Explanation

Simple Explanation

सरल रूप \(11x^2y-xy-6\) है। इसमें (5xy) पद नहीं है। / The simplified form is \(11x^2y-xy-6\). It does not contain the term (5xy).

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Question 99/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

यदि (x=2) और (y=1), तो \(x^2y+xy^2\) और (xy(x+y)) के बारे में सही कथन कौन-सा है?

If (x=2) and (y=1), which statement is correct about \(x^2y+xy^2\) and (xy(x+y))?

Explanation opens after your attempt
Correct Answer

C. दोनों बराबर हैंBoth are equal

Explanation

Simple Explanation

(x-2y+xy-2=xy(x+y)) समान रूप हैं। दिए मानों पर दोनों का मान (6) है। / (x-2y+xy-2=xy(x+y)) are equivalent forms. For the given values, both equal (6).

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Question 100/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

\(8x^2-6xy+y^2-3x^2+9xy-5y^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(8x^2-6xy+y^2-3x^2+9xy-5y^2\)?

Explanation opens after your attempt
Correct Answer

A. \(5x^2+3xy-4y^2\)

Explanation

Simple Explanation

\(8x^2-3x^2=5x^2\), (-6xy+9xy=3xy), और \(y^2-5y^2=-4y^2\)। / \(8x^2-3x^2=5x^2\), (-6xy+9xy=3xy), and \(y^2-5y^2=-4y^2\).

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Question 101/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(4x-2-7x+6-\(2x^2-5x-3\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4x-2-7x+6-\(2x^2-5x-3\))?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-2x+9\)

Explanation

Simple Explanation

कोष्ठक घटाने पर अंदर के चिन्ह बदलते हैं। सरल रूप \(4x^2-7x+6-2x^2+5x+3=2x^2-2x+9\) है। / Signs change when the bracket is subtracted. The simplified form is \(4x^2-7x+6-2x^2+5x+3=2x^2-2x+9\).

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Question 102/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=-2) हो, तो \(x^4+2x^3-3x^2+5\) का मान क्या होगा?

If (x=-2), what is the value of \(x^4+2x^3-3x^2+5\)?

Explanation opens after your attempt
Correct Answer

B. (-7)

Explanation

Simple Explanation

मान रखने पर (16+2(-8)-3(4)+5=-7) मिलता है। ऋणात्मक संख्या की सम और विषम घात अलग असर देती हैं। / Substitution gives (16+2(-8)-3(4)+5=-7). Even and odd powers of a negative number affect signs differently.

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Question 103/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(9a^2b-4ab^2-6a^2b+11ab^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(9a^2b-4ab^2-6a^2b+11ab^2\)?

Explanation opens after your attempt
Correct Answer

C. \(3a^2b+7ab^2\)

Explanation

Simple Explanation

\(a^2b\) और \(ab^2\) वाले पद अलग-अलग मिलते हैं। इसलिए सरल रूप \(3a^2b+7ab^2\) है। / Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore the simplified form is \(3a^2b+7ab^2\).

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Question 104/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि ((2k+1)x-4x) का सरल रूप (9x) है, तो (k) का मान क्या होगा?

If the simplified form of ((2k+1)x-4x) is (9x), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

समान पद मिलाने पर ((2k-3)x=9x) मिलता है। इसलिए (2k-3=9) और (k=6)। / Combining like terms gives ((2k-3)x=9x). Hence (2k-3=9) and (k=6).

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Question 105/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x+y=11) और (x-y=5), तो (y) का मान क्या होगा?

If (x+y=11) and (x-y=5), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

A. (3)

Explanation

Simple Explanation

पहले व्यंजक में से दूसरा घटाने पर (2y=6) मिलता है। इसलिए (y=3) है। / Subtracting the second expression from the first gives (2y=6). Therefore (y=3).

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Question 106/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(5(2p-3q)-3(p+4q)+2q) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (5(2p-3q)-3(p+4q)+2q)?

Explanation opens after your attempt
Correct Answer

B. (7p-25q)

Explanation

Simple Explanation

खोलने पर (10p-15q-3p-12q+2q) मिलता है। समान पद मिलाकर (7p-25q) बनेगा। / Expanding gives (10p-15q-3p-12q+2q). Combining like terms gives (7p-25q).

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Question 107/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (m=-1) और (n=4), तो \(3m^2n-2mn^2\) का मान क्या होगा?

If (m=-1) and (n=4), what is the value of \(3m^2n-2mn^2\)?

Explanation opens after your attempt
Correct Answer

C. (44)

Explanation

Simple Explanation

(3m-2n=3(1)(4)=12) और (-2mn-2=-2(-1)(16)=32) है। कुल मान (44) है। / (3m-2n=3(1)(4)=12) and (-2mn-2=-2(-1)(16)=32). The total value is (44).

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Question 108/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा व्यंजक (x) और (y) के अंतर के वर्ग में (4xy) जोड़ने को दर्शाता है?

Which expression represents adding (4xy) to the square of the difference of (x) and (y)?

Explanation opens after your attempt
Correct Answer

D. ((x-y)2+4xy)

Explanation

Simple Explanation

पहले अंतर (x-y) का वर्ग लिया जाता है फिर (4xy) जोड़ा जाता है। इसलिए ((x-y)2+4xy) सही है। / First the difference (x-y) is squared and then (4xy) is added. Therefore ((x-y)2+4xy) is correct.

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Question 109/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(7x^2y+3xy^2-9x^2y+5xy^2\) में \(x^2y\) का गुणांक सरल करने के बाद क्या होगा?

After simplifying \(7x^2y+3xy^2-9x^2y+5xy^2\), what will be the coefficient of \(x^2y\)?

Explanation opens after your attempt
Correct Answer

A. (-2)

Explanation

Simple Explanation

\(x^2y\) वाले पद \(7x^2y\) और \(-9x^2y\) हैं। उनका योग \(-2x^2y\) है। / The \(x^2y\) terms are \(7x^2y\) and \(-9x^2y\). Their sum is \(-2x^2y\).

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Question 110/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(6x-(3x-(5x-8))) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (6x-(3x-(5x-8)))?

Explanation opens after your attempt
Correct Answer

D. (4x-8)

Explanation

Simple Explanation

अंदर (3x-(5x-8)=-2x+8) है। इसलिए (6x-(-2x+8)=8x-8) नहीं बल्कि (8x-8) मिलता है। / Inside, (3x-(5x-8)=-2x+8). Hence (6x-(-2x+8)=8x-8), so check signs carefully.

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Question 111/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=3) पर \(kx^2-4x-6\) का मान (9) है, तो (k) क्या होगा?

If the value of \(kx^2-4x-6\) at (x=3) is (9), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

मान रखने पर (9k-12-6=9) मिलता है। इसलिए (9k=27) और (k=3)। / Substitution gives (9k-12-6=9). Therefore (9k=27) and (k=3).

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Question 112/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस विकल्प में \(p^2q^3\) के समान पदों का सही समूह है?

Which option gives the correct group of like terms of \(p^2q^3\)?

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Correct Answer

A. \(4p^2q^3\), \(-6p^2q^3\), \(p^2q^3\)

Explanation

Simple Explanation

समान पदों में चर और उनकी घातें बिल्कुल समान होती हैं। पहले विकल्प में हर पद का चर भाग \(p^2q^3\) है। / Like terms have exactly the same variables and powers. In the first option, every term has variable part \(p^2q^3\).

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Question 113/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(3a-2-2ab+5b-2-\(2a^2+ab-4b^2\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3a-2-2ab+5b-2-\(2a^2+ab-4b^2\))?

Explanation opens after your attempt
Correct Answer

C. \(a^2-3ab+9b^2\)

Explanation

Simple Explanation

घटाने वाले कोष्ठक के चिन्ह बदलते हैं। सरल रूप \(3a^2-2ab+5b^2-2a^2-ab+4b^2=a^2-3ab+9b^2\) है। / Signs change in the subtracted bracket. The simplified form is \(3a^2-2ab+5b^2-2a^2-ab+4b^2=a^2-3ab+9b^2\).

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Question 114/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (a+b=8) और (ab=12), तो (4(a+b)-ab) का मान क्या होगा?

If (a+b=8) and (ab=12), what is the value of (4(a+b)-ab)?

Explanation opens after your attempt
Correct Answer

D. (20)

Explanation

Simple Explanation

दिए हुए पूरे व्यंजकों को सीधे रखें। (4(8)-12=20) मिलता है। / Substitute the given whole expressions directly. (4(8)-12=20).

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Question 115/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(4r(r-1)-3r(2-r)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (4r(r-1)-3r(2-r))?

Explanation opens after your attempt
Correct Answer

A. \(7r^2-10r\)

Explanation

Simple Explanation

(4r(r-1)=4r-2-4r) और (-3r(2-r)=-6r+3r-2) है। कुल \(7r^2-10r\) है। / (4r(r-1)=4r-2-4r) and (-3r(2-r)=-6r+3r-2). The total is \(7r^2-10r\).

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Question 116/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(8p^2q-3pq+6pq-5p^2q+4\) को सरल करने पर कितने पद रहेंगे?

How many terms remain after simplifying \(8p^2q-3pq+6pq-5p^2q+4\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

सरल रूप \(3p^2q+3pq+4\) है। इसमें तीन अलग पद रहेंगे। / The simplified form is \(3p^2q+3pq+4\). It has three distinct terms.

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Question 117/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस व्यंजक में (u) की घात (3) और (v) की घात (2) है?

In which expression is the power of (u) equal to (3) and the power of (v) equal to (2)?

Explanation opens after your attempt
Correct Answer

B. \(u^3v^2\)

Explanation

Simple Explanation

\(u^3v^2\) में (u) की घात (3) और (v) की घात (2) है। हर चर की घात अलग देखें। / In \(u^3v^2\), the power of (u) is (3) and the power of (v) is (2). Check each variable's power separately.

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Question 118/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=-3) और (y=2), तो \(x^2y+xy^2\) का मान क्या होगा?

If (x=-3) and (y=2), what is the value of \(x^2y+xy^2\)?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

(x-2y=9(2)=18) और (xy-2=(-3)(4)=-12) है। इसलिए कुल मान (6) है। / (x-2y=9(2)=18) and (xy-2=(-3)(4)=-12). Therefore, the total value is (6).

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Question 119/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(7x^2-4x+9\) और \(-3x^2+8x-2\) का योग क्या होगा?

What is the sum of \(7x^2-4x+9\) and \(-3x^2+8x-2\)?

Explanation opens after your attempt
Correct Answer

B. \(4x^2+4x+7\)

Explanation

Simple Explanation

समान पद जोड़ने पर \(7x^2-3x^2=4x^2\), (-4x+8x=4x), और (9-2=7)। / Adding like terms gives \(7x^2-3x^2=4x^2\), (-4x+8x=4x), and (9-2=7).

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Question 120/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (5x-3=22), तो \(x^2+2x\) का मान क्या होगा?

If (5x-3=22), what is the value of \(x^2+2x\)?

Explanation opens after your attempt
Correct Answer

C. (35)

Explanation

Simple Explanation

(5x=25) से (x=5) है। इसलिए \(x^2+2x=25+10=35\)। / From (5x=25), (x=5). Therefore, \(x^2+2x=25+10=35\).

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Question 121/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा पद \(8m^2n^4\) का समान पद है?

Which term is a like term of \(8m^2n^4\)?

Explanation opens after your attempt
Correct Answer

B. \(-3m^2n^4\)

Explanation

Simple Explanation

समान पद में चर भाग \(m^2n^4\) ही होना चाहिए। \(-3m^2n^4\) का चर भाग समान है। / A like term must have the same variable part \(m^2n^4\). \(-3m^2n^4\) has the same variable part.

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Question 122/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(6x-2-4xy+y-2-\(2x^2+5xy-3y^2\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (6x-2-4xy+y-2-\(2x^2+5xy-3y^2\))?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-9xy+4y^2\)

Explanation

Simple Explanation

कोष्ठक घटाने पर सभी अंदरूनी चिन्ह बदलेंगे। सरल रूप \(4x^2-9xy+4y^2\) है। / When the bracket is subtracted, all inside signs change. The simplified form is \(4x^2-9xy+4y^2\).

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Question 123/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (a-b=7) और (a+b=17), तो (a) का मान क्या होगा?

If (a-b=7) and (a+b=17), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

D. (12)

Explanation

Simple Explanation

दोनों व्यंजकों को जोड़ने पर (2a=24) मिलता है। इसलिए (a=12) है। / Adding the two expressions gives (2a=24). Therefore, (a=12).

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Question 124/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(4x^3-7x^2+2x-11\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(4x^3-7x^2+2x-11\)?

Explanation opens after your attempt
Correct Answer

B. (-7)

Explanation

Simple Explanation

\(x^2\) वाला पद \(-7x^2\) है। इसलिए गुणांक (-7) है। / The term containing \(x^2\) is \(-7x^2\). Therefore, the coefficient is (-7).

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Question 125/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(2(5x+3y)-7(x-y)+4x) को सरल करने पर (x) का गुणांक क्या होगा?

After simplifying (2(5x+3y)-7(x-y)+4x), what will be the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

सरल रूप (10x+6y-7x+7y+4x=7x+13y) है। इसलिए (x) का गुणांक (7) है। / The simplified form is (10x+6y-7x+7y+4x=7x+13y). So the coefficient of (x) is (7).

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Question 126/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस व्यंजक में कुल घात (7) है?

Which expression has total degree (7)?

Explanation opens after your attempt
Correct Answer

A. \(x^3y^4\)

Explanation

Simple Explanation

\(x^3y^4\) में कुल घात (3+4=7) है। बहु-चर पद में घातों को जोड़ें। / In \(x^3y^4\), the total degree is (3+4=7). Add the powers in a multivariable term.

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Question 127/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x+y=9) और (x-y=1), तो \(x^2-y^2\) का मान क्या होगा?

If (x+y=9) and (x-y=1), what is the value of \(x^2-y^2\)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

(x-2-y-2=(x-y)(x+y)) होता है। इसलिए मान \(1\cdot9=9\) है। / (x-2-y-2=(x-y)(x+y)). Therefore, the value is \(1\cdot9=9\).

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Question 128/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(9u^2v-5uv+3u^2v+8uv-10\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(9u^2v-5uv+3u^2v+8uv-10\)?

Explanation opens after your attempt
Correct Answer

C. \(12u^2v+3uv-10\)

Explanation

Simple Explanation

\(9u^2v+3u^2v=12u^2v\) और (-5uv+8uv=3uv)। स्थिर पद (-10) अलग रहेगा। / \(9u^2v+3u^2v=12u^2v\) and (-5uv+8uv=3uv). The constant term (-10) remains separate.

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Question 129/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=-4), तो \(\frac{x^3-2x^2+8}{x}\) का मान क्या होगा?

If (x=-4), what is the value of \(\frac{x^3-2x^2+8}{x}\)?

Explanation opens after your attempt
Correct Answer

B. (22)

Explanation

Simple Explanation

अंश ((-64)-2(16)+8=-88) है। \(\frac{-88}{-4}=22\) मिलेगा। / The numerator is ((-64)-2(16)+8=-88). Then \(\frac{-88}{-4}=22\).

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Question 130/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा व्यंजक \(3x^2-2x+5\) में \(-x^2+6x-9\) जोड़ने पर मिलता है?

Which expression is obtained by adding \(-x^2+6x-9\) to \(3x^2-2x+5\)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+4x-4\)

Explanation

Simple Explanation

समान पद जोड़ें: \(3x^2-x^2=2x^2\), (-2x+6x=4x), और (5-9=-4)। / Add like terms: \(3x^2-x^2=2x^2\), (-2x+6x=4x), and (5-9=-4).

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Question 131/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(12x^2-5x+4\) में से \(7x^2-9x+10\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(7x^2-9x+10\) from \(12x^2-5x+4\)?

Explanation opens after your attempt
Correct Answer

A. \(5x^2+4x-6\)

Explanation

Simple Explanation

घटाने पर \(12x^2-5x+4-7x^2+9x-10\) मिलता है। इसका सरल रूप \(5x^2+4x-6\) है। / Subtraction gives \(12x^2-5x+4-7x^2+9x-10\). Its simplified form is \(5x^2+4x-6\).

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Question 132/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा कथन \(r^3s^2\) और \(r^2s^3\) के लिए सही है?

Which statement is correct for \(r^3s^2\) and \(r^2s^3\)?

Explanation opens after your attempt
Correct Answer

B. ये असमान पद हैं क्योंकि चर-घातें अलग हैंThey are unlike terms because variable powers are different

Explanation

Simple Explanation

दोनों में (r) और (s) हैं पर प्रत्येक चर की घात समान नहीं है। इसलिए ये असमान पद हैं। / Both contain (r) and (s), but the power of each variable is not the same. So they are unlike terms.

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Question 133/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (a=-2), (b=3), तो \(a^3b-2ab^2+b^3\) का मान क्या होगा?

If (a=-2), (b=3), what is the value of \(a^3b-2ab^2+b^3\)?

Explanation opens after your attempt
Correct Answer

A. (39)

Explanation

Simple Explanation

(a-3b=(-8)(3)=-24), (-2ab-2=-2(-2)(9)=36), और \(b^3=27\)। कुल मान (39) है। / (a-3b=(-8)(3)=-24), (-2ab-2=-2(-2)(9)=36), and \(b^3=27\). The total value is (39).

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Question 134/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

(3(5x-2y)-4(2x+y)+6y) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3(5x-2y)-4(2x+y)+6y)?

Explanation opens after your attempt
Correct Answer

B. (7x-4y)

Explanation

Simple Explanation

खोलने पर (15x-6y-8x-4y+6y) मिलता है। समान पद मिलाकर (7x-4y) बनेगा। / Expanding gives (15x-6y-8x-4y+6y). Combining like terms gives (7x-4y).

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Question 135/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(x^2+kx-20\) में यदि (x) का गुणांक (-11) है, तो (k+4) का मान क्या होगा?

In \(x^2+kx-20\), if the coefficient of (x) is (-11), what is the value of (k+4)?

Explanation opens after your attempt
Correct Answer

C. (-7)

Explanation

Simple Explanation

(kx) में (x) का गुणांक (k) है, इसलिए (k=-11)। अतः (k+4=-7)। / In (kx), the coefficient of (x) is (k), so (k=-11). Hence (k+4=-7).

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Question 136/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा व्यंजक (y) के वर्ग के (5) गुने और (x) के तीन गुने के अंतर को दर्शाता है?

Which expression represents the difference between five times the square of (y) and three times (x)?

Explanation opens after your attempt
Correct Answer

A. \(5y^2-3x\)

Explanation

Simple Explanation

(y) के वर्ग का (5) गुना \(5y^2\) है और (x) का तीन गुना (3x) है। अंतर \(5y^2-3x\) होगा। / Five times the square of (y) is \(5y^2\), and three times (x) is (3x). The difference is \(5y^2-3x\).

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Question 137/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(6x^2-7xy+3y^2+2xy-5y^2-4x^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(6x^2-7xy+3y^2+2xy-5y^2-4x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-5xy-2y^2\)

Explanation

Simple Explanation

\(6x^2-4x^2=2x^2\), (-7xy+2xy=-5xy), और \(3y^2-5y^2=-2y^2\)। / \(6x^2-4x^2=2x^2\), (-7xy+2xy=-5xy), and \(3y^2-5y^2=-2y^2\).

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Question 138/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=4), तो (3x(x-2)-2x-2) का मान क्या होगा?

If (x=4), what is the value of (3x(x-2)-2x-2)?

Explanation opens after your attempt
Correct Answer

A. (8)

Explanation

Simple Explanation

पहले सरल करें (3x(x-2)-2x-2=x-2-6x)। (x=4) रखने पर (16-24=-8), इसलिए सावधानी से विकल्प जाँचें। / First simplify (3x(x-2)-2x-2=x-2-6x). Substituting (x=4) gives (16-24=-8), so check the options carefully.

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Question 139/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(4x^2y-6xy^2-7x^2y+2xy^2\) को सरल करने पर \(xy^2\) का गुणांक क्या होगा?

After simplifying \(4x^2y-6xy^2-7x^2y+2xy^2\), what will be the coefficient of \(xy^2\)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Explanation

Simple Explanation

\(xy^2\) वाले पद \(-6xy^2\) और \(2xy^2\) हैं। इनका योग \(-4xy^2\) है। / The \(xy^2\) terms are \(-6xy^2\) and \(2xy^2\). Their sum is \(-4xy^2\).

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Question 140/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

किस व्यंजक का सरल रूप \(6x^2-13x\) है?

Which expression has the simplified form \(6x^2-13x\)?

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Correct Answer

A. (x(6x-13))

Explanation

Simple Explanation

(x(6x-13)) खोलने पर \(6x^2-13x\) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ। / Expanding (x(6x-13)) gives \(6x^2-13x\). Use the distributive rule to check options.

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Question 141/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (p+q=10) और (p-q=4), तो (2p+q) का मान क्या होगा?

If (p+q=10) and (p-q=4), what is the value of (2p+q)?

Explanation opens after your attempt
Correct Answer

B. (17)

Explanation

Simple Explanation

दोनों संबंधों से (p=7) और (q=3) मिलता है। इसलिए (2p+q=14+3=17)। / The two relations give (p=7) and (q=3). Therefore (2p+q=14+3=17).

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Question 142/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(7a^2-4ab+6b^2\) में से \(3a^2-9ab+2b^2\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(3a^2-9ab+2b^2\) from \(7a^2-4ab+6b^2\)?

Explanation opens after your attempt
Correct Answer

A. \(4a^2+5ab+4b^2\)

Explanation

Simple Explanation

घटाने पर \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\) मिलता है। सरल रूप \(4a^2+5ab+4b^2\) है। / Subtraction gives \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\). The simplified form is \(4a^2+5ab+4b^2\).

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Question 143/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(4x^2+7x-9\) में से कौन-सा पद हटाने पर स्थिर पद नहीं रहेगा और दो पद बचेंगे?

Which term should be removed from \(4x^2+7x-9\) so that no constant term remains and two terms are left?

Explanation opens after your attempt
Correct Answer

C. (-9)

Explanation

Simple Explanation

स्थिर पद (-9) है। इसे हटाने पर \(4x^2+7x\) में दो चर पद बचते हैं। / The constant term is (-9). Removing it leaves \(4x^2+7x\), which has two variable terms.

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Question 144/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=-2), (y=-3), तो \(x^2y^2+3xy\) का मान क्या होगा?

If (x=-2), (y=-3), what is the value of \(x^2y^2+3xy\)?

Explanation opens after your attempt
Correct Answer

C. (54)

Explanation

Simple Explanation

\(x^2y^2=4\cdot9=36\) और (3xy=3(6)=18) है। कुल मान (54) है। / \(x^2y^2=4\cdot9=36\) and (3xy=3(6)=18). The total value is (54).

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Question 145/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

कौन-सा विकल्प (3(2x+y)-5(x-2y)+2x) के बराबर है?

Which option is equal to (3(2x+y)-5(x-2y)+2x)?

Explanation opens after your attempt
Correct Answer

A. (3x+13y)

Explanation

Simple Explanation

खोलने पर (6x+3y-5x+10y+2x) मिलता है। समान पद मिलाकर (3x+13y) बनेगा। / Expanding gives (6x+3y-5x+10y+2x). Combining like terms gives (3x+13y).

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Question 146/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(x^4y^3\) में कुल घात और (x) की घात का अंतर क्या है?

What is the difference between the total degree and the power of (x) in \(x^4y^3\)?

Explanation opens after your attempt
Correct Answer

A. (3)

Explanation

Simple Explanation

कुल घात (4+3=7) है और (x) की घात (4) है। अंतर (7-4=3) होगा। / The total degree is (4+3=7), and the power of (x) is (4). The difference is (7-4=3).

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Question 147/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि \(x^2-2x=15\), तो \(2x^2-4x+7\) का मान क्या होगा?

If \(x^2-2x=15\), what is the value of \(2x^2-4x+7\)?

Explanation opens after your attempt
Correct Answer

C. (37)

Explanation

Simple Explanation

(2x-2-4x+7=2\(x^2-2x\)+7) है। दिए मान से (2(15)+7=37)। / (2x-2-4x+7=2\(x^2-2x\)+7). Using the given value, (2(15)+7=37).

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Question 148/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(6x^2y-4xy+9x^2y+7xy-12\) को सरल करने पर कौन-सा पद नहीं रहेगा?

After simplifying \(6x^2y-4xy+9x^2y+7xy-12\), which term will not remain?

Explanation opens after your attempt
Correct Answer

D. (11xy)

Explanation

Simple Explanation

सरल रूप \(15x^2y+3xy-12\) है। इसमें (11xy) पद नहीं है। / The simplified form is \(15x^2y+3xy-12\). It does not contain the term (11xy).

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Question 149/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

यदि (x=3) और (y=2), तो \(x^2y-xy^2\) और (xy(x-y)) के बारे में सही कथन कौन-सा है?

If (x=3) and (y=2), which statement is correct about \(x^2y-xy^2\) and (xy(x-y))?

Explanation opens after your attempt
Correct Answer

C. दोनों बराबर हैंBoth are equal

Explanation

Simple Explanation

(x-2y-xy-2=xy(x-y)) समान रूप हैं। दिए मानों पर दोनों का मान (6) है। / (x-2y-xy-2=xy(x-y)) are equivalent forms. For the given values, both equal (6).

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Question 150/150 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 25

\(9x^2-5xy+4y^2-2x^2+8xy-7y^2\) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying \(9x^2-5xy+4y^2-2x^2+8xy-7y^2\)?

Explanation opens after your attempt
Correct Answer

A. \(7x^2+3xy-3y^2\)

Explanation

Simple Explanation

\(9x^2-2x^2=7x^2\), (-5xy+8xy=3xy), और \(4y^2-7y^2=-3y^2\)। / \(9x^2-2x^2=7x^2\), (-5xy+8xy=3xy), and \(4y^2-7y^2=-3y^2\).

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