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MHT CET202416 May 2024Morning ShiftMathematicsApplication of DerivativesActual

If denotes the acute angle between the curves y=10-x^2 and y=2+x^2 , at a point of the intersection, then | | is equal to

Options

  1. A8 15
  2. B8 17
  3. C4 9
  4. D7 17

Correct answer

A. 8 15

Step-by-step solution

aligned & y=10-x^2 ...(i) & y=2+x^2...(ii) aligned Solving (i) and (ii), we get y=6 From (i), 6=10-x^2 x= 2 Differentiating (i) w.r.t. x , we get d y ~d x =-2 x ( ~d y ~d x )_ (-2,6) =4 Differentiating (ii) w.r.t. x , we get aligned & d y ~d x =2 x ( ~d y ~d x )_ (-2,6) =-4 & = | 4-(-4) 1+4(-4) |= | 8 -15 | | |= 8 15 aligned

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