1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane passing through the points $$(2,3,1),(4,-5,3)$$ and parallel to $$X$$-axis is

A
$$3 y+4 z=13$$
B
$$y-4 z=-1$$
C
$$2 y+4 z=19$$
D
$$y+4 z=7$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane which passes through (2, $$-$$3, 1) and is normal to the line joining the points (3, 4, $$-$$1) and (2, $$-$$1, 5) is given by

A
$$ x+5 y-6 z+19=0 $$
B
$$ x-5 y+6 z-23=0 $$
C
$$ x+5 y+6 z+7=0 $$
D
$$ x-5 y-6 z-11=0 $$
3
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$G(3,-5, r)$$ is the centroid of $$\triangle A B C$$, where $$A \equiv(7,-8,1), B \equiv(p, q, 5), C \equiv(q+1,5 p, 0)$$ are vertices of the triangle $$A B C$$, then the values of $$p, q, r$$ are respectively

A
$$-2,3,2$$
B
$$-4,5,4$$
C
$$6,5,4$$
D
$$2,-2,3$$
4
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the lines $$\frac{2 x-4}{\lambda}=\frac{y-1}{2}=\frac{z-3}{1}$$ and $$\frac{x-1}{1}=\frac{3 y-1}{\lambda}=\frac{z-2}{1}$$ are perpendicular to each other, then $$\lambda=$$

A
$$\frac{-7}{6}$$
B
$$\frac{6}{7}$$
C
$$\frac{-6}{7}$$
D
$$\frac{7}{6}$$
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