1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$a, b>0$$, then minimum value of $$y=\frac{b^2}{a-x}+\frac{a^2}{x}, 0< x< a$$ is

A
4a
B
4b
C
2a
D
2b
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The point on the curve $$y=x^2+4 x+3$$ which is closest to the line $$y=3 x+2$$ is

A
$$\left(\frac{1}{2}, \frac{5}{4}\right)$$
B
$$\left(\frac{-1}{2}, \frac{5}{4}\right)$$
C
$$\left(2, \frac{-5}{3}\right)$$
D
$$\left(2, \frac{5}{3}\right)$$
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of those tangents to the curve $$y^2-2 x^3-4 y+8=0$$ which pass through the point $$(1,2)$$ is

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

If the straight line $$x \cos \alpha+y \sin \alpha=p$$ touches the curve $$\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2$$ at the point $$(a, b)$$ on it and $$\frac{1}{a^2}+\frac{1}{b^2}=\frac{k}{p^2}$$, then $$k=$$

A
4
B
5
C
6
D
7
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