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

A tetrahedron has verticles $$P(1,2,1), Q(2,1,3), R(-1,1,2)$$ and $$O(0,0,0)$$. Then the angle between the faces $$O P Q$$ and $$P Q R$$ is

A
$$\cos ^{-1}\left(\frac{17}{35}\right)$$
B
$$\cos ^{-1}\left(\frac{17}{31}\right)$$
C
$$\cos ^{-1}\left(\frac{19}{35}\right)$$
D
$$\cos ^{-1}\left(\frac{19}{31}\right)$$
2
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

The Cartesian equation of a line passing through $$(1,2,3)$$ and parallel to $$x-y+2 z=5$$ and $$3 x+y+z=6$$ is

A
$$\frac{x-1}{-3}=\frac{y-2}{5}=\frac{z-3}{4}$$
B
$$\frac{x-1}{3}=\frac{y-2}{1}=\frac{z-3}{1}$$
C
$$\frac{x-1}{1}=\frac{y-2}{-1}=\frac{z-3}{1}$$
D
$$\frac{x-1}{-3}=\frac{y-2}{-5}=\frac{z-3}{4}$$
3
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
$$y+4 z=7$$
4
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
$$ x-5 y-6 z-11=0 $$
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