Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f(x) = 
Equation of tangent line touching both branches of y = f(x) is
Text Solution
Verified by ExpertsThe correct answer is:
B
Let y = mx + c be tangent touching both branches.
f(x) = – x 2 , y = mx + c , x < 0
x 2 + mx + c = 0 , m > 0 ( x < 0 ) (negative roots)
D = 0 ⇒ m 2 = 4c
f(x) = x 2 + 8, y = mx + c, x > 0
x 2 – mx + 8 – c = 0 , m > 0 (positive roots)
D = 0 ⇒ m 2 = 32 – 4c
⇒ c = 4, m 2 = 16 ⇒ c = 4, m = 4
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