1
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane through $$(-1,1,2)$$ whose normal makes equal acute angles with co-ordinate axes is

A
$$x+y+z-3=0$$
B
$$x+y+z-2=0$$
C
$$x+y-z-2=0$$
D
$$x-y+z-3=0$$
2
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The distance of the point $$\mathrm{P}(-2,4,-5)$$ from the line $$\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}$$ is

A
$$\frac{\sqrt{37}}{10}$$
B
$$\sqrt{\frac{37}{10}}$$
C
$$\frac{37}{\sqrt{10}}$$
D
$$\frac{37}{10}$$
3
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the line $$\frac{1-x}{3}=\frac{7 y-14}{2 p}=\frac{z-3}{2}$$ and $$\frac{7-7 x}{3 \mathrm{p}}=\frac{y-5}{1}=\frac{6-\mathrm{z}}{5}$$ are at right angles, then $$\mathrm{p}=$$

A
$$\frac{70}{11}$$
B
$$\frac{11}{70}$$
C
$$\frac{-70}{11}$$
D
$$\frac{-11}{70}$$
4
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $x-3=\frac{y-\mathrm{k}}{2}=\mathrm{z}$ intersect, then the value of $\mathrm{k}$ is
A
$$\frac{3}{2}$$
B
$$\frac{-2}{9}$$
C
$$\frac{-2}{3}$$
D
$$\frac{9}{2}$$
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