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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Match the following columns: Column-I Column-II (A) If quadratic...

Match the following columns:
Column-IColumn-II
(A) If quadratic equation \displaystyle 3x^2 + ax + 1 = 0 and \displaystyle 2x^2 + bx + 1 = 0 have a common root then value of \displaystyle 5ab - 2a^2 - 3b^2 =(P) \displaystyle 6
(B) Number of solution of \displaystyle x⁴ - 2x^2 \sin^2 πx2+\frac{\pi x}{2} +1 = 0 is/are(Q) \displaystyle 1
(C) Number of points of discontinuity \displaystyle y = 1u2+u−2\frac{1}{u^2 + u - 2}where \displaystyle u = 1x−1\frac{1}{x - 1}is/are(R) \displaystyle 2
(D) \displaystyle ∫dxx5/2(1+x)7/2=\int \frac{dx}{x^{5/2} (1 + x)^{7/2}} =A \left( \frac{x + 1}{x} \right)^{-1/A} +C(WhereCisintegrationconstant),thenA=</td><td>(S)3</td></tr></table>C (Where \displaystyle C is integration constant), then \displaystyle A =</td><td>(S) \displaystyle 3</td></tr></table>

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