Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 491-500 of 604 questions.
What is obtained after simplifying \(3x^2-5xy+2y^2-7x^2+xy-y^2\)?
A. \(-4x^2-4xy+y^2\)
\(3x^2-7x^2=-4x^2\), (-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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If (x=3), what is the value of \(\frac{x^2+2x-3}{x}\)?
A. (4)
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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For which expression is the value at (x=0) equal to its constant term?
A. \(7x^2-2x+9\)
(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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After simplifying (2(3a-2b)+5(a+b)-4a), what will be the coefficient of (b)?
A. (1)
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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If \(x^2=9\) and (x=3), what is the value of \(4x^2-5x+2\)?
A. (23)
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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Which expression is obtained by adding \(-x^2+5xy-4y^2\) to \(2x^2-3xy+y^2\)?
A. \(x^2+2xy-3y^2\)
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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If (3x-2=10), what is the value of \(x^2+x\)?
B. (20)
(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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What is obtained after simplifying (10x-2-3x+1-\(4x^2-8x+6\))?
A. \(6x^2+5x-5\)
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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Which option correctly identifies the mistake in treating \(x^2y\) and \(xy^2\) as like terms?
C. घातें अलग हैं इसलिए असमान हैंThey are unlike because powers are different
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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If (a+b=7) and (ab=10), what is the value of (3(a+b)-2ab)?
A. (1)
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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