1
JEE Main 2020 (Online) 9th January Evening Slot
Numerical
+4
-0
Out of Syllabus
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If the distance between the plane, 23x – 10y – 2z + 48 = 0 and the plane

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

and $${{x + 3} \over 2} = {{y + 2} \over 6} = {{z - 1} \over \lambda }\left( {\lambda \in R} \right)$$

is equal to $${k \over {\sqrt {633} }}$$, then k is equal to ______.
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2
JEE Main 2020 (Online) 9th January Morning Slot
Numerical
+4
-0
Change Language
The projection of the line segment joining the points (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2, 3) and (3, –2, 10) is ____________.
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3
JEE Main 2020 (Online) 7th January Evening Slot
Numerical
+4
-0
Change Language
If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through ($$\alpha $$, 7, 1) is $$\left( {{5 \over 3},{7 \over 3},{{17} \over 3}} \right)$$, then $$\alpha $$ is equal to______.
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