1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the tangent to the curve $$y = 4x{e^x}$$ at $$\left( { - 1,{{ - 4} \over e}} \right)$$ is

A
$$6x - {e \over 4}y = - 5$$
B
$$x - {e \over 4}y = 0$$
C
$$x = - 1$$
D
$$y = {{ - 4} \over e}$$
2
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
$$\frac{\pi}{4}$$
3
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of tangent at $$P(-4,-4)$$ on the curve $$x^2=-4 y$$ is

A
$$2 x-y+4=0$$
B
$$2 x+y-4=0$$
C
$$3 x-y+8=0$$
D
$$2 x+y+4=0$$
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