1
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The incentre of the triangle whose vertices are $P(0,3,0), Q(0,0,4)$ and $R(0,3,4)$ is

A
$(0,3,2)$
B
$(0,2,3)$
C
$(2,0,3)$
D
$(2,3,0)$
2
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The vector equation of a line whose Cartesian equations are $y=2,4 x-3 z+5=0$ is

A
$\overline{\mathrm{r}}=(3 \hat{\mathrm{i}}+4 \mathrm{k})+\lambda\left(2 \hat{\mathrm{j}}+\frac{5}{3} \hat{\mathrm{k}}\right)$
B
$\overline{\mathrm{r}}=(3 \hat{\mathrm{i}}+4 \mathrm{k})+\lambda\left(2 \hat{\mathrm{j}}-\frac{5}{3} \hat{\mathrm{k}}\right)$
C
$\overline{\mathrm{r}}=\left(2 \hat{\mathrm{j}}+\frac{5}{3} \hat{\mathrm{k}}\right)+\lambda(3 \hat{\mathrm{i}}+4 \mathrm{k})$
D
$\overline{\mathrm{r}}=\left(2 \hat{\mathrm{j}}-\frac{5}{3} \hat{\mathrm{k}}\right)+\lambda(3 \hat{\mathrm{i}}+4 \mathrm{k})$
3
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of the plane, passing through the points $(3,1,1),(1,2,3)$ and $(-1,4,2)$, is

A
$5 x+6 y-2 z-23=0$
B
$-5 x+6 y+2 z+23=0$
C
$5 x+6 y+2 z-23=0$
D
$5 x-6 y+2 z-23=0$
4
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the line passing through the point $(-1,3,-2)$ and perpendicular to each of the lines $\frac{x}{1}=\frac{y}{2}=\frac{z}{3}$ and $\frac{x+2}{-3}=\frac{y-1}{2}=\frac{z+1}{5}$, is

A
$\frac{x+1}{2}=\frac{y-3}{7}=\frac{z+2}{4}$
B
$\frac{x+1}{-2}=\frac{y-3}{-7}=\frac{z+2}{4}$
C
$\frac{x+1}{2}=\frac{y-3}{7}=\frac{z+2}{-4}$
D
$\frac{x+1}{2}=\frac{y-3}{-7}=\frac{z+2}{4}$
MHT CET Subjects
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