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1
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$y=e^{x^2+e^{x^2+e^{x^2+\cdots \infty}}}$$, then $$\frac{d y}{d x}$$ is equal to

A
$$\frac{2 x}{1-y}$$
B
$$\frac{2 x y}{y-1}$$
C
$$\frac{2 x y}{1-y}$$
D
$$\frac{2 y}{y-1}$$
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$\frac{d}{d x}\left[\tan ^{-1}\left(\frac{\cos x}{1+\sin x}\right)\right]$$ is equal to

A
$$\frac{1}{2}$$
B
$$\frac{-1}{2}$$
C
1
D
$$-$$1
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$x^2+y^2=1$$, then

A
$$y\left(y^{\prime \prime}\right)-4\left(y^{\prime}\right)^2+1=0$$
B
$$y\left(y^{\prime \prime}\right)+\left(y^{\prime}\right)^2+1=0$$
C
$$y\left(y^{\prime \prime}\right)-\left(y^{\prime}\right)^2-1=0$$
D
$$y\left(y^{\prime \prime}\right)+2\left(y^{\prime}\right)^2+1=0$$
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$y=x+\frac{1}{x}$$, then which among the following holds?

A
$$x^2 y^{\prime}+x y=0$$
B
$$x^2 y^{\prime}+x y+2=0$$
C
$$x^2 y^{\prime}-x y+2=0$$
D
$$x^2 y^{\prime}+x y-2=0$$
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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