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Class 9 Mathematics - Sequences and Progressions - nth term Expert Quiz

Mathematics Sequences and Progressions nth term Expert Class 9 Level 24

Level 24 • 50/50 questions • 25 seconds per question.

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Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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 11/50 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 12/50 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 13/50 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 14/50 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 15/50 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 16/50 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 17/50 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 18/50 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 19/50 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 20/50 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 21/50 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 22/50 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 23/50 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 24/50 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 25/50 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 26/50 Expert Mathematics Introduction to Polynomials Algebraic expressions Class 9 Level 24

किस व्यंजक में कुल घात (6) है?

Which expression has total degree (6)?

Explanation opens after your attempt
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 27/50 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 28/50 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 29/50 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 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 49/50 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 50/50 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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