Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the curves y 2 = 6x, 9x 2 + by 2 = 16, cut each other at right angles then the value of b is -
Text Solution
Verified by ExpertsThe correct answer is:
C
The intersection of the two curves is given by
9x 2 + 6bx – 16 = 0 (i)
Differentiating y 2 = 6x, we have 
= 
.
Differentiating 9x 2 + by 2 = 16, we have 
= – 
.
For curves to intersect at right angles, we must have at the points of intersection 
= –1 ⇒ 27x = by 2 . Thus we must have
9x 2 + by 2 = 16 ⇒ 9x 2 + 27x – 16 = 0 (ii)
(i) and (ii) must be identical so 27 = 6b ⇒ b = 9/2.
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