1
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
2
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
$$\frac{-238}{27}$$
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the curves $$y=x^3-3 x^2-8 x-4$$ and $$y=3 x^2+7 x+4$$ touch each other at a point $$P$$, then the equation of common tangent at $$P$$ is

A
$$x-y+1=0$$
B
$$2 x-y+1=0$$
C
$$x+y+1=0$$
D
$$2 x+y+1=0$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The maximum value of $$f(x)=\frac{x}{1+4 x+x^2}$$ is

A
$$1 / 4$$
B
$$1 / 5$$
C
$$1 / 6$$
D
$$1 / 7$$
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