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AP EAMCET2003MathematicsApplication of Derivatives

The angle between the curves y= x and y= x is

Options

  1. A⁻¹(2 2 )
  2. B⁻¹(3 2 )
  3. C⁻¹(3 3 )
  4. D⁻¹(5 2 )

Correct answer

A. ⁻¹(2 2 )

Step-by-step solution

Given that, y= x ...(i) and y= x ...(ii) From Eqs. (i) and (ii), x= x x=1 x= 4 Slope m₁= d y d x = xm₂= d y d x =- x m₁= ( d y d x )_ 4 = 4 = 1 2 and m₂= ( d y d x )_ / 4 =- 1 2 = m₁-m₂ 1+m₁ m₂ = 1 2 + 1 2 1- 1 2 1 2 = 2 2 2=2 2 = ⁻¹(2 2 )

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