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

Condition that 2 curves $$y^2=4 a x, x y=c^2$$ cut orthogonally is

A
$$c^2=16 a^2$$
B
$$c^2=32 a^2$$
C
$$c^4=16 a^4$$
D
$$c^4=32 a^4$$
2
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
$$3: 2$$
3
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
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$x^3-2 x^2 y^2+5 x+y-5=0$$, then at $$(\mathrm{l}, \mathrm{l}), y^{\prime \prime}(\mathrm{l})=$$

A
$$\frac{-197}{27}$$
B
$$\frac{125}{31}$$
C
12
D
$$\frac{-238}{27}$$
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