1
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$\mathrm{f}(x)=\mathrm{e}^x-x$$ and $$\mathrm{g}(x)=x^2-x, \forall x \in \mathrm{R}$$, then the set of all $$x \in \mathrm{R}$$, where the function $$\mathrm{h}(x)=(\mathrm{fog})(x)$$ is increasing is

A
$$\left[0, \frac{1}{2}\right] \cup[1, \infty)$$
B
$$\left[-1,-\frac{1}{2}\right] \cup\left[\frac{1}{2}, \infty\right)$$
C
$$[0, \infty)$$
D
$$\left[-\frac{1}{2}, 0\right] \cup[1, \infty)$$
2
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$f$$ be a differentiable function such that $$\mathrm{f}(1)=2$$ and $$\mathrm{f}^{\prime}(x)=\mathrm{f}(x)$$, for all $$x \in \mathrm{R}$$. If $$\mathrm{h}(x)=\mathrm{f}(\mathrm{f}(x))$$, then $$\mathrm{h}^{\prime}(1)$$ is equal to

A
$$4 \mathrm{e}^2$$
B
$$4 \mathrm{e}$$
C
$$2 \mathrm{e}$$
D
$$2 \mathrm{e}^2$$
3
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of a pair of lines passing through the origin and making an angle of $$\frac{\pi}{4}$$ with the line $$3 x+2 y-8=0$$ is

A
$$5 x^2+24 x y-5 y^2=0$$
B
$$5 x^2-24 x y+5 y^2=0$$
C
$$5 x^2-24 x y-5 y^2=0$$
D
$$5 x^2+24 x y+5 y^2=0$$
4
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two sides of a square are along the lines $$5 x-12 y+39=0$$ and $$5 x-12 y+78=0$$, then area of the square is

A
9 sq. units.
B
$$\frac{1}{3}$$ sq. units.
C
18 sq. units.
D
3 sq. units.
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12