JEE Main 2019 Mathematics question

MathematicsApplication of DerivativesJEE Main 2019

If the tangent to the curve, at the point (1, −5) is perpendicular to the line, −x + y + 4 = 0, then which one of the following points lies on the curve?

Answer: (A)

Solution

3 + a = −1 ⇒ a = −4; −5 = 1 − 4 − b ⇒ b = 2; gives y(2) = −2.

Question ID VK-009474