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CGP EDU Academic Team
Published on: August 13, 2026
The area of triangle formed by tangent at (1,1) on y = x 2 + bx + c with coordinate axis is equal to 2 then the integral value of b is
Text Solution
Verified by ExpertsThe correct answer is:
A
1 = 1 + b + c ⇒ c = – b
= 2x + b = 2 + b at (1, 1)
equation of tangent is y –1 = (2 + b) (x –1) ⇒ x intercept = 
y intercept = – (b + 1) ⇒ 
= 2
b 2 + 2b + 1 = 4b + 8 on –4b – 8
b 2 – 2b – 7 = 0 on b 2 + 6b + 9 = 0 ⇒ integral b = – 3
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