1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

The length of perpendicular drawn from the point $$(3,-1,11)$$ to the line $$\frac{x}{2}=\frac{y-2}{3}=\frac{z-3}{4}$$ is

A
$$\sqrt{29}$$
B
$$\sqrt{33}$$
C
$$\sqrt{53}$$
D
$$\sqrt{66}$$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

The equation of the plane through the points $$(2,1,0),(3,2,-2)$$ and $$(3,1,7)$$ is

A
$$2 x-3 y+4 z-27=0$$
B
$$6 x-3 y+2 z-7=0$$
C
$$7 x-9 y-z-5=0$$
D
$$3 x-2 y+6 z-27=0$$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

The point of intersection of the line $$x+1=\frac{y+3}{3}=\frac{-z+2}{2}$$ with the plane $$3 x+4 y+5 z=10$$ is

A
$$(2,-6,-4)$$
B
$$(2,6,-4)$$
C
$$(2,6,4)$$
D
$$(-2,6,-4)$$
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$(2,3,-1)$$ is the foot of the perpendicular from $$(4,2,1)$$ to a plane, then the equation of the plane is

A
$$2 x+y+2 z-1=0$$
B
$$2 x-y+2 z=0$$
C
$$2 x+y+2 z-5=0$$
D
$$2 x-y+2 z+1=0$$
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