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

If the line $\frac{x-3}{2}=\frac{y+2}{-1}=\frac{z+4}{3}$ lies in the plane $\ell x+m y-z=9$, then $\ell^2+m^2$ is

A
1
B
4
C
2
D
5
2
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The mirror image of $$\mathrm{P}(2,4,-1)$$ in the plane $$x-y+2 z-2=0$$ is $$(\mathrm{a}, \mathrm{b}, \mathrm{c})$$, then the value of $$a+b+c$$ is

A
4
B
5
C
7
D
9
3
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the lines $$\frac{x-\mathrm{k}}{2}=\frac{y+1}{3}=\frac{\mathrm{z}-1}{4}$$ and $$\frac{x-3}{1}=\frac{y-\frac{9}{2}}{2}=\frac{\mathrm{z}}{1}$$ intersect, then the value of $$\mathrm{k}$$ is

A
$$\frac{1}{2}$$
B
$$-1$$
C
1
D
$$\frac{3}{2}$$
4
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A vector parallel to the line of intersection of the planes $$\bar{r} \cdot(3 \hat{i}-\hat{j}+\hat{k})=1$$ and $$\bar{r} \cdot(\hat{i}+4 \hat{j}-2 \hat{k})=2$$ is

A
$$-2 \hat{i}+7 \hat{j}+13 \hat{k}$$
B
$$2 \hat{i}-7 \hat{j}+13 \hat{k}$$
C
$$-\hat{i}+4 \hat{j}+7 \hat{k}$$
D
$$\hat{\mathrm{i}}-4 \hat{\mathrm{j}}+7 \hat{\mathrm{k}}$$
MHT CET Subjects
EXAM MAP