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1
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

The slope of the curve $2 y^2=a x^2+b$ at $(1,-1)$ is -1 . Then, the value of $b$ is

A

0

B

2

C

-1

D

-2

2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The maximum area of rectangle inscribed in a circle of diameter $ R $ is
A
$ R^{2} $
B
$ \frac{R^{2}}{2} $
C
$ \frac{R^{2}}{4} $
D
$ \frac{R^{2}}{8} $
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
Consider the function $ f(x)=\frac{|x-1|}{x^{2}} $, then $ f(x) $ is
A
increasing in $ (0,1) \cup(2, \infty) $
B
increasing in $ (-\infty, 0) \cup(0,1) $
C
decreasing in $ (-\infty, 0) \cup(2, \infty) $
D
decreasing in $ (0,1) \cup(2, \infty) $
4
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

A cylindrical tank of radius $$10 \mathrm{~m}$$ is being filled with wheat at the rate of $$200 \pi$$ cubic metre per hour. Then, the depth of the wheat is increasing at the rate of

A
0.5 m/h
B
2 m/h
C
0.2 m/h
D
2.2 m/h
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