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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

The families of curves defined by the equations y=b x and x^2+y^2=a^2 are orthogonal if -

Options

  1. Aa=2, b=4
  2. Ba=-3, b=5
  3. Ca=-2, b=3
  4. Da=5, b=2

Correct answer

D. a=5, b=2

Step-by-step solution

From the first equation d y d x =b and from the second equation d y d x =- x y b (- x y )=-1 y=b x So the curves are perpendicular for every value of a & ~b

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