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NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

The number of tangents that can be drawn to y = e x from π , 0 is

Options

  1. A0
  2. B1
  3. C4
  4. D5

Correct answer

B. 1

Step-by-step solution

Slope of A B = e x - 0 x - π = d y d x B ⇒ e x x - π = e x ⇒ x - π = 1 ⇒ x = π + 1 ∴ B is π + 1 , e π + 1 Hence, only one tangent can be drawn.

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