1
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the foot of perpendicular drawn from the origin to the plane is $$(3,2,1)$$, then the equation of plane is

A
$$3 x+2 y-z=12$$
B
$$3 x-2 y-z=12$$
C
$$3 x+2 y-z=14$$
D
$$3 x+2 y+z=14$$
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The angle between the line $$r =(\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})+\lambda(3 \hat{\mathbf{i}}+\hat{\mathbf{j}})$$ and the plane $$\mathbf{r} \cdot(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})=8$$ is

A
$$\sin ^{-1}\left(\frac{2 \sqrt{7}}{\sqrt{5}}\right)$$
B
$$\sin ^{-1}\left(\frac{\sqrt{5}}{2 \sqrt{7}}\right)$$
C
$$\sin ^{-1}\left(\frac{3 \sqrt{7}}{\sqrt{5}}\right)$$
D
$$\sin ^{-1}\left(\frac{\sqrt{7}}{3 \sqrt{5}}\right)$$
3
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The direction cosines of a line which is perpendicular to lines whose direction ratios are $$3,-2,4$$ and $$1,3,-2$$ are

A
$$\frac{4}{\sqrt{297}}, \frac{5}{\sqrt{297}}, \frac{16}{\sqrt{297}}$$
B
$$\frac{8}{\sqrt{285}}, \frac{10}{\sqrt{285}}, \frac{11}{\sqrt{285}}$$
C
$$\frac{-8}{\sqrt{285}}, \frac{10}{\sqrt{285}}, \frac{11}{\sqrt{285}}$$
D
$$\frac{-8}{\sqrt{285}}, \frac{-10}{\sqrt{285}}, \frac{11}{\sqrt{285}}$$
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the lines given by $$\frac{x-1}{2 \lambda}=\frac{y-1}{-5}=\frac{z-1}{2}$$ and $$\frac{x+2}{\lambda}=\frac{y+3}{\lambda}=\frac{z+5}{1}$$ are parallel, then the value of $$\lambda$$ is

A
$$\frac{2}{5}$$
B
$$-\frac{5}{2}$$
C
$$-\frac{2}{5}$$
D
$$\frac{5}{2}$$
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