1
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

A spherical balloon is filled with 4500$$\pi$$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72$$\pi$$ cubic meters per minute then the rate (in meters per minute) at which the radius of the balloon decreases 49 min after the leakage began is

A
$$\frac{9}{7}$$
B
$$\frac{7}{9}$$
C
$$\frac{2}{9}$$
D
9
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If in a $$\Delta$$ABC, 2b2 = a2 + c2, then $$\frac{\sin 3B}{\sin B}$$ is equal to

A
$${{{c^2} - {a^2}} \over {2ca}}$$
B
$${{{c^2} - {a^2}} \over {ca}}$$
C
$${{{{({c^2} - {a^2})}^2}} \over {{{(ca)}^2}}}$$
D
$${\left[ {{{{c^2} - {a^2}} \over {2ca}}} \right]^2}$$
3
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If the sum of the coefficients in the expansion of (x + y)n is 1024, then the value of the greatest coefficient in the expansion is

A
356
B
252
C
210
D
120
4
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

The area enclosed by the curves $$y = \sin x + \cos x$$ and $$y = |\cos x - \sin x|$$ over the interval $$\left[ {0,{\pi \over 2}} \right]$$ is

A
$$4(\sqrt 2 - 1)$$
B
$$2\sqrt 2 (\sqrt 2 - 1)$$
C
$$2(\sqrt 2 + 1)$$
D
$$2\sqrt 2 (\sqrt 2 + 1)$$
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