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Class 9 Mathematics - Sequences and Progressions - Explicit or general rule Expert Quiz

Mathematics Sequences and Progressions Explicit or general rule Expert Class 9 Level 23

Level 23 • 50/50 questions • 25 seconds per question.

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Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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 11/50 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 12/50 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 13/50 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 14/50 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 15/50 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 16/50 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 17/50 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 18/50 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 19/50 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 20/50 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 21/50 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 22/50 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 23/50 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 24/50 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 25/50 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 26/50 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 27/50 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 28/50 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 29/50 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 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 \(6x^2yz\)?

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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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 49/50 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 50/50 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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