Published by:
CGP EDU Academic Team
Published on: August 13, 2026
x − 2y + 4 = 0 is a common tangent to y 2 = 4x & 
= 1. Then find the value of ‘b’ and the other common tangent.
Text Solution
Verified by ExpertsThe correct answer is:
B
b = 
; x + 2y + 4 = 0
Sol. 2y = x + 4
y = 
⇒ M = 
y = mx ± 
2 = ± 
⇒ b 2 = 3 ⇒ b = 
⇒ 
= ± 
⇒ 
= 4m 2 + 3 ⇒ 4m 4 + 3m 2 –1 = 0 ⇒ m = ± 
Hence ( vr% ) y = – 
x – 2, 2y = – x – 4
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