1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of normal to the curve $$y=\sin \left(\frac{\pi x}{4}\right)$$ at the point $$(2,5)$$ is

A
$$x=2$$
B
$$x+y=5$$
C
$$x+y=2$$
D
$$y=5$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\text { If } \sin (x+y)+\cos (x+y)=\sin \left[\cos ^{-1}\left(\frac{1}{3}\right)\right] \text {, then } \frac{dy}{dx}=$$

A
1
B
$$-$$
C
$$\frac{1}{2}$$
D
0
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

For every value of $$x$$, the function $$f(x)=\frac{1}{a^x}, a>$$ 0 is,

A
neither increasing nor decreasing
B
decreasing
C
constant
D
increasing
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=\log (\sin x), x \in\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right]$$, then value of '$$c$$' by applying LMVT is

A
$$\frac{\pi}{2}$$
B
$$\frac{2 \pi}{3}$$
C
$$\frac{3 \pi}{4}$$
D
$$\frac{\pi}{4}$$
MHT CET Subjects
EXAM MAP