1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Equation of the plane passing through the point $$(1,2,3)$$ and parallel to the plane $$2 x+3 y-4 z=0 $$

A
$$2 x+3 y+4 z-8=0$$
B
$$2 x+3 y-4 z+4=0$$
C
$$2 x+3 y+4 z+4=0$$
D
$$2 x+3 y+4 z=20$$
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The negation of $$p \wedge(q \rightarrow r)$$ is

A
$$\sim p \wedge(\sim q \rightarrow \sim r)$$
B
$$\sim \mathrm{p} \vee(\mathrm{q} \wedge \sim \mathrm{r})$$
C
$$\sim \mathrm{p} \vee(\sim \mathrm{q} \rightarrow \sim \mathrm{r})$$
D
$$\mathrm{p} \vee(\sim \mathrm{p} \vee \mathrm{r})$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of the differential equation $$(2 y-1) d x-(2 x+3) d y=0$$ is

A
$$(2 x+3)^2=c(2 y-1)$$
B
$$\frac{2 x+3}{2 y-1}=c$$
C
$$(2 x+3)(2 y-1)=c$$
D
$$(2 x+3)(2 y-1)^2=c$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$y=\log _{10} x+\log _x 10+\log _x x+\log _{10} 10$$, then $$\frac{d y}{d x}=$$

A
$$\frac{1}{x \log _e 10}+\frac{1}{x \log _{10} e}$$
B
$$\frac{1}{x \log _e 10}+\frac{\log _e 10}{x\left(\log _{10} e\right)^2}$$
C
$$\frac{1}{x \log _e 10}-\frac{1}{x \log _{10} e}$$
D
$$\frac{1}{x \log _e 10}-\frac{\log _e 10}{x\left(\log _e x\right)^2}$$
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