1
JEE Main 2017 (Offline)
+4
-1
If the image of the point P(1, –2, 3) in the plane, 2x + 3y – 4z + 22 = 0 measured parallel to the line,

$${x \over 1} = {y \over 4} = {z \over 5}$$ is Q, then PQ is equal to:
A
$$2\sqrt {42}$$
B
$$\sqrt {42}$$
C
$$6\sqrt 5$$
D
$$3\sqrt 5$$
2
JEE Main 2017 (Offline)
+4
-1
The distance of the point (1, 3, – 7) from the plane passing through the point (1, –1, – 1), having normal perpendicular to both the lines

$${{x - 1} \over 1} = {{y + 2} \over { - 2}} = {{z - 4} \over 3}$$

and

$${{x - 2} \over 2} = {{y + 1} \over { - 1}} = {{z + 7} \over { - 1}}$$ is :
A
$${{10} \over {\sqrt {83} }}$$
B
$${{5} \over {\sqrt {83} }}$$
C
$${{10} \over {\sqrt {74} }}$$
D
$${{20} \over {\sqrt {74} }}$$
3
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
ABC is a triangle in a plane with vertices

A(2, 3, 5), B(−1, 3, 2) and C($$\lambda$$, 5, $$\mu$$).

If the median through A is equally inclined to the coordinate axes, then the value of ($$\lambda$$3 + $$\mu$$3 + 5) is :
A
1130
B
1348
C
676
D
1077
4
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
The number of distinct real values of $$\lambda$$ for which the lines

$${{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over {{\lambda ^2}}}$$ and $${{x - 3} \over 1} = {{y - 2} \over {{\lambda ^2}}} = {{z - 1} \over 2}$$ are coplanar is :
A
4
B
1
C
2
D
3
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