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CGP EDU Academic Team
Published on: August 14, 2026
The parabolas C 1 : y 2 = 4a (x - a) and C 2 : y 2 = -4a (x - k) intersect at two distinct points A and B. If the slope of the tangent at A on C 1 issame as the slope of the normal at B on C 2 , then the value of k is equal to
Text Solution
Verified by ExpertsThe correct answer is:
A
3a
Let,A=(p,q)&B=(p,-q)
Now q 2 = 4a (p - a) &q 2 = -4a (p - k) ...(i)
p-a=-p + k 
p= 
...(ii)
Now for 
& 
…(iii)
Putting values from (ii) & (iii) in equation (i), we get,
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