1
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
$$\frac{-11}{70}$$
2
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
3
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
$$5 x-3 y+2 z+12=0$$
4
MHT CET 2021 20th September Evening Shift
+2
-0

The Cartesian equation of the line passing through the points A(2, 2, 1) and B(1, 3, 0) is

A
$$\frac{x+2}{1}=\frac{y+2}{-1}=\frac{z+1}{-1}$$
B
$$\frac{x-2}{-1}=\frac{y-2}{1}=\frac{z-1}{-1}$$
C
$$\frac{x+2}{-1}=\frac{y+2}{1}=\frac{z+1}{-1}$$
D
None of these
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