1
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A closed cylinder of given volume will have least surface area when the ratio of its height and base radius is

A
$$2: 1$$
B
$$1: 2$$
C
$$2: 3$$
D
$$3: 2$$
2
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two particles $$P$$ and $$Q$$ located at the points $$P\left(t, t^3-16 t-3\right), Q\left(t+1, t^3-6 t-6\right)$$ are moving in a plane, the minimum distance between the points in their motion is

A
1
B
5
C
169
D
49
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f(x)=\int x^2 \cos ^2 x\left(2 x \tan ^2 x-2 x-6 \tan x\right) d x$$ and $$f(0)=\pi$$, then $$f(x)=$$

A
$$x^2 \sin x+\pi$$
B
$$\cos x+\pi-1$$
C
$$-x^3 \sin 2 x+\pi$$
D
$$x^3 \cos 2 x+\pi \cos x$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\int \frac{e^{\sqrt{x}}}{\sqrt{x}}(x+\sqrt{x}) d x=e^{\sqrt{x}}[A x+B \sqrt{x}+C]+K$$ then $$A+B+C=$$

A
$$-$$2
B
2
C
4
D
$$-$$4
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