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MHT CET20249 May 2024Morning ShiftMathematicsApplication of DerivativesActual

If the curves y^2=6 x, 9 x^2+b y^2=16 intersect each other at right angles, then the value of b is

Options

  1. A9 2
  2. B6
  3. C7
  4. D7 2

Correct answer

A. 9 2

Step-by-step solution

aligned & y^2=6 x ..(i) & 2 y ~d y ~d x =6 ~d y ~d x = 3 y & Also, 9 x^2+ b y^2=16 & 18 x+2 ~b y ~d y ~d x =0 & ~d y ~d x = -9 x ~b y aligned As given curves intersect each other at right angle, their tangents also intersect at right angles. array ll & 3 y -9 x b y =-1 & y^2=27 x & (i) b(6 x)=27 x & b= 9 2 array

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