1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+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
$$\frac{9}{2}$$
2
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+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
$$x=3-2 \lambda, y=4-5 \lambda, z=-7+13 \lambda$$
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+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
$${\cos ^{ - 1}}\left( {{{\sqrt 2 } \over 3}} \right)$$
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the line $$\frac{x+1}{2}=\frac{y-m}{3}=\frac{z-4}{6}$$ lies in the plane $$3 x-14 y+6 z+49=0$$, then the value of $$m$$ is

A
3
B
$$-$$5
C
5
D
2
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