1
MHT CET 2021 20th September Morning Shift
+2
-0

The Cartesian equation of the plane passing through the point $$(0,7,-7)$$ and containing the line $$\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z+2}{1}$$ is

A
$$2 x+y-z=14$$
B
$$x+2 y+z=7$$
C
$$x+y+z=0$$
D
$$2 x+y+z=0$$
2
MHT CET 2021 20th September Morning Shift
+2
-0

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

A
$$\frac{3}{2}$$
B
$$\frac{-3}{2}$$
C
$$\frac{-2}{9}$$
D
$$\frac{9}{2}$$
3
MHT CET 2021 20th September Morning Shift
+2
-0

The parametric equations of a line passing through the points $$\mathrm{A}(3,4,-7)$$ and $$\mathrm{B}(1,-1,6)$$ are

A
$$x=3+\lambda, y=-1+4 \lambda, z=-7+6 \lambda$$
B
$$x=-2+3 \lambda, y=-5+4 \lambda, z=13-7 \lambda$$
C
$$x=1+3 \lambda, y=-1+4 \lambda, z=6-7 \lambda$$
D
$$x=3-2 \lambda, y=4-5 \lambda, z=-7+13 \lambda$$
4
MHT CET 2021 20th September Morning Shift
+2
-0

The angle between a line with direction ratios 2, 2, 1 and a line joining (3, 1, 4) and (7, 2, 12) is

A
$${\cos ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$$
B
$${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$$
C
$${\cos ^{ - 1}}\left( {{2 \over 3}} \right)$$
D
$${\cos ^{ - 1}}\left( {{{\sqrt 2 } \over 3}} \right)$$
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Calculus
Coordinate Geometry
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