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 461-470 of 604 questions.
For which value of (k) will (kx+6x) simplify to (11x)?
B. (5)
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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After simplifying \(7u^2v-4uv^2+3u^2v-9uv^2\), what will be the coefficient of \(uv^2\)?
B. (-13)
\(uv^2\) 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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Which expression represents subtracting (2xy) from the sum of the squares of (x) and (y)?
C. \(x^2+y^2-2xy\)
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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If (x=1) and (y=-3), what is the value of \(2x^2-xy+y^2\)?
C. (14)
(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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After simplifying (5x-2-\(2x^2-3x\)+(4x-7)), what is the coefficient of (x)?
C. (7)
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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Which option is a complete group of like terms of \(a^2b\)?
A. \(3a^2b\), \(-5a^2b\), \(8a^2b\)
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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What is obtained after simplifying (3(2a-b)-2(a+3b)+5b)?
A. (4a-4b)
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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If substituting (x=3) in \(2x^2+kx-15\) gives (0), what is (k)?
A. (-1)
(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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How many different types of terms remain in the simplified form of \(4x^2y-6xy+2x^2y+9xy-5\)?
C. (3)
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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Which expression has no constant term but has two different variable terms?
A. \(7x^2-3x\)
\(7x^2-3x\) 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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