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 581-590 of 604 questions.
If (x+y=9) and (x-y=1), what is the value of \(x^2-y^2\)?
B. (9)
(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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What is obtained after simplifying \(9u^2v-5uv+3u^2v+8uv-10\)?
C. \(12u^2v+3uv-10\)
\(9u^2v+3u^2v=12u^2v\) 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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If (x=-4), what is the value of \(\frac{x^3-2x^2+8}{x}\)?
B. (22)
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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Which expression is obtained by adding \(-x^2+6x-9\) to \(3x^2-2x+5\)?
A. \(2x^2+4x-4\)
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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What is obtained by subtracting \(7x^2-9x+10\) from \(12x^2-5x+4\)?
A. \(5x^2+4x-6\)
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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Which statement is correct for \(r^3s^2\) and \(r^2s^3\)?
B. ये असमान पद हैं क्योंकि चर-घातें अलग हैंThey are unlike terms because variable powers are different
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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If (a=-2), (b=3), what is the value of \(a^3b-2ab^2+b^3\)?
A. (39)
(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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What is obtained after simplifying (3(5x-2y)-4(2x+y)+6y)?
B. (7x-4y)
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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In \(x^2+kx-20\), if the coefficient of (x) is (-11), what is the value of (k+4)?
C. (-7)
(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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Which expression represents the difference between five times the square of (y) and three times (x)?
A. \(5y^2-3x\)
(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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