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NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

The number of tangents that can be drawn from 2 , 0 to the curve y = x 6 is/are

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Let A be α , α 6 & B be 2,0 So, slope of A B = 6 α 5 = α 6 α - 2 ⇒ α = 0 or 6 α - 12 = α ⇒ α = 0 or α = 12 5 ⇒ 2 tangents are possible

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