Differential Equations Ques 1

  1. Match the conditions/expressions in Column I with statements in Column II.
Column I Column II
A. $\int_0^{\pi / 2}(\sin x)^{\cos x}\left\{\cos x \cot x-\log (\sin x)^{\sin x}\right\} d x$ p. 1
B. Area bounded by $-4 y^2=x$ and $x-1=-5 y^2$ q. 0
C. The angle of intersection of curves $y=3^{x-1} \log x$ and $y=x^x-1$ is r. $3 e^{y / 2}$
D. If $\frac{d y}{d x}=\frac{2}{x+y}$ passing through $(1,0)$, then $(x+y+2)$ is s. $\frac{4}{3}$

(2006, 6M)

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Answer:

Correct Answer: 1.$( A \rightarrow p; B \rightarrow s; C \rightarrow q; D \rightarrow r)$



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