1
MHT CET 2021 21th September Evening Shift
+2
-0

The area of the parallelogram with vertices A(1, 2, 3), B(1, 3, a), C(3, 8, 6) and D(3, 7, 3) is $$\sqrt{265}$$ sq. units, then a =

A
$$-5,2$$
B
6
C
$$-6,0$$
D
6, 0
2
MHT CET 2021 21th September Morning Shift
+2
-0

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

A
$$\frac{-70}{11}$$
B
$$\frac{70}{11}$$
C
$$\frac{11}{70}$$
D
$$\frac{-11}{70}$$
3
MHT CET 2021 21th September Morning Shift
+2
-0

The Cartesian equation of the plane passing through the point A(7, 8, 6) and parallel to the XY plane is

A
z = 1
B
y = 8
C
x = 7
D
z = 6
4
MHT CET 2021 21th September Morning Shift
+2
-0

The equation of the plane passing through $$(-2,2,2)$$ and $$(2,-2,-2)$$ and perpendicular to the plane $$9 x-13 y-3 z=0$$ is

A
$$5 x-3 y+2 z=12$$
B
$$5 \mathrm{x}+3 \mathrm{y}+2 \mathrm{z}=0$$
C
$$5 x+3 y-2 z+8=0$$
D
$$5 x-3 y+2 z+12=0$$
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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