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1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $$y = {{\sin x} \over {1 + {{\cos x} \over {1 + {{\sin x} \over {1 + {{\cos x} \over {...}}}}}}}}$$, then $\frac{dy}{dx}$ is given by
A
$\frac{y \sin x+(1+y) \cos x}{1+2 y+\cos x-\sin x}$
B
$\frac{y \cos x+(1+y) \sin x}{1+2 y+\cos x-\sin x}$
C
$\frac{y \sin x-(1+y) \cos x}{1+2 y+\cos x-\sin x}$
D
$\frac{y \cos x-(1+y) \sin x}{1+2 y+\cos x-\sin x}$
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The curve $x^4-2 x y^2+y^2+3 x-3 y=0$ cuts the X -axis at $(0,0)$ at an angle of

A
$\frac{\pi}{4}$
B
$\frac{\pi}{2}$
C
0
D
$\frac{\pi}{6}$
3
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y$ is a function of $x$ and $\log (x+y)=2 x y$, then the value of $y^{\prime}(0)$ is

A
1
B
$-$1
C
2
D
0
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y=a x^{n+1}+b x^{-n}$, then $x^2 \frac{d^2 y}{d x^2}=$

A
$\mathrm{n}(\mathrm{n}+1) y$
B
  $(\mathrm{n}+1)(\mathrm{n}-2) y$
C
$\mathrm{n}(\mathrm{n}-2) y$
D
$(\mathrm{n}+1) \mathrm{y}$
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