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MHT CET202014 Oct 2020Morning ShiftMathematicsCircleActual

The centre and radius of a circle x=4 a ( 1-t² 1+t² ), y= 8 a t 1+t² , are respectively

Options

  1. A(0,0) and 3 a units
  2. B(0,0) and 4 a units
  3. C(0,0) and 2 a units
  4. D(0,0) and a units

Correct answer

B. (0,0) and 4 a units

Step-by-step solution

Given equation of circle in parametric form is x=4 a ( 1-t² 1+t² ) and y=4 a ( 2 t 1+t² ) x=4 a 2 and y=4 a 2 , where t= Comparing with x=r , y=r , we get r=4 a , centre is (0,0)

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