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JEE Main20246 Apr 2024Morning ShiftMathematicsCircleActual

Let C be the circle of minimum area touching the parabola y=6-x^2 and the lines y= 3 |x| . Then, which one of the following points lies on the circle C ?

Options

  1. A(1,2)
  2. B(1,1)
  3. C(2,2)
  4. D(2,4)

Correct answer

D. (2,4)

Step-by-step solution

Equation of circle x ^2+( y -(6- r ))^2= r ^2 touches 3 x - y =0 aligned & p = r & |0-(6- r )| 2 = r & | r -6|=2 r & r =2 aligned Circle x ^2+( y -4)^2=4(2,4) Satisfies this equation

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