1
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}(x)=\frac{2 x-3}{3 x-4}, x \neq \frac{4}{3}$$, then the value of $$\mathrm{f}^{-1}(x)$$ is

A
$$\frac{4 x-3}{3 x-2}$$
B
$$\frac{3 x-2}{4 x+3}$$
C
$$\frac{3 x-4}{4 x-2}$$
D
$$\frac{2 x+3}{4 x-3}$$
2
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}^{\prime}(x)=\sin (\log x)$$ and $$y=\mathrm{f}\left(\frac{2 x+3}{3-2 x}\right)$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=1$$ is

A
$$6 \sin (\log 5)$$
B
$$5 \sin (\log 6)$$
C
$$12 \sin (\log 5)$$
D
$$5 \sin (\log 12)$$
3
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the curve $$y=|x-2|, x=1, x=3$$ and $$X$$-axis is

A
3 sq. units
B
2 sq. units
C
1 sq. units
D
4 sq. units
4
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{\mathrm{d} x}{\cot ^2 x-1}=\frac{1}{\mathrm{~A}} \log |\sec 2 x+\tan 2 x|-\frac{x}{\mathrm{~B}}+\mathrm{c}$$, (where $$\mathrm{c}$$ is constant of integration), then $$\mathrm{A}+\mathrm{B}=$$

A
$$-$$6
B
6
C
$$-$$5
D
5
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