Engineer & Medical

Exam 2018 Chemistry question bank (Chemistry)

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Q1.

If the curves $y^2 = 6x$ and $9x^2 + by^2 = 16$ intersect each other at right angles,then the value of $b$ is:

(A)

$\frac{7}{2}$

(B)

$4$

(C)

$\frac{9}{2}$

(D)

$6$

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Q2.

Let $y = y(x)$ be the solution of the differential equation $\sin x \frac{dy}{dx} + y \cos x = 4x$,where $x \in (0, \pi)$. If $y(\frac{\pi}{2}) = 0$,then find the value of $y(\frac{\pi}{6})$.

(A)

$-\frac{8}{9\sqrt{3}} \pi^2$

(B)

$-\frac{8}{9} \pi^2$

(C)

$-\frac{4}{9} \pi^2$

(D)

$\frac{4}{9\sqrt{3}} \pi^2$

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