NTA Abhyas JEE Main2020MathematicsApplication of DerivativesPractice

The slope of the tangent (other than the x -axis) drawn from the origin to the curve y = x - 1 6 is

Options

A6 5 5 4
B- 6 5 5 5
C6 5 5 5
D- 6 6 5 5

Correct answer

D. - 6 6 5 5

Step-by-step solution

Slope of O A = α - 1 6 - 0 α - 0 = d y d x ⇒ α - 1 6 α = 6 α - 1 5 ⇒ α - 1 = 0 or α - 1 = 6 α α = 1 or α = - 1 5 ⇒ A - 1 5 , 6 6 5 6 ∴ Slope of O A = 6 6 5 6 - 0 - 1 5 - 0 = - 6 6 5 5

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