AP EAMCET202315 May 2023Evening ShiftMathematicsApplication of DerivativesActual

If the angle between the curves y=e^ 2(1+x)-4 and x^2 y=1 at the point (1,1) is , then | |+| |=

Options

A7 / 5
B3 / 5
C8 / 7
D6 / 5

Correct answer

A. 7 / 5

Step-by-step solution

Given the curves y=e^ 2(1+x)-4 and x^2 y=1 Now y=e^ 2(1+x)-4 y^ =2 e^ 2 x-2 y^ (1)=2=m₁ and x^2 y=1 y= 1 x^2 y^ = -2 x^3 y^ (1)=+2=m₂ Since, = | 2-(-2) 1+2(-2) | = 4 3 So | |+| |= 4 5 + 3 5 = 7 5

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