JEE Previous Year Question

The equation of the tangent to the curve y = x + , that is parallel to the x-axis,

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

  1. Ay = 1
  2. By = 2
  3. Cy = 3
  4. Dy = 0

Correct answer: C

Solution

(c)y = x +
y′ = 1 – = 0 ⇒ x3 = 8 ⇒ x = 2
y = 2 + = 3
(2, 3) is point of contact
Thus y = 3 is tangent
Hence correct option is (c)

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