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MHT CET202211 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

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

Options

  1. A4
  2. B7 2
  3. C6
  4. D9 2

Correct answer

D. 9 2

Step-by-step solution

( d y ~d x )_ C₁ = 3 y and ( d y ~d x )_ C₂ = -9 x b y for orthogonal intersection ( d y ~d x )_ C₁ ( d y ~d x )_ C₂ =-1 aligned & 3 y -9 x b y =-1 & 27 x=b y^2 & 27 x=b 6 x [ y^2=6 x ] & b= 9 2 aligned

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