Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let normals to the parabola y 2 = 4x at variable points 
and 
meet at the point 
, then the line joining P and Q always passes through a fixed point 
, then the value of 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
2
2
and 
are the roots of the equation 
x 2 + tx + 2 = 0 has roots t 1 &t 2
t 1 +t 2 = -tandt 1 t 2 = 2
Now, the equation of PQ is (t 1 + t 2 )y = 2x + 2t 1 t 2
t 1 = 2x + 4 
2 (x + 2) + ty = 0
PQ always passes through the common point of x + 2 = 0 and y = 0
( 
, 
) - (-2,0) 
& 
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