Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If equation of the plane through the straight line
and perpendicular to the plane
x – y + z + 2 = 0 is ax – by + cz + 4 = 0, then find
the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
5
Ans. 5
Sol. Plane contains the line
So
plane is ⊥ r to 
– 
+ 
so 2a + 3b + 5c = 0 …..(i)
plane contain the line 
– 2 
so a + 2b + 4 = 0 …..(ii)
plane is ⊥ r to x – y + z + 2 = 0 so a + b + c = 0 ...(iii)
on solving (i) + (ii) + (iii)
a = 2, b = – 3, c = 1
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