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MHT CET20228 Aug 2022Evening ShiftMathematicsCircleActual

The parametric equations of the curve x^2+y^2-a x-b y=0 are

Options

  1. Ax= a 2 + a^2+b^2 4 , y=- b 2 + a^2+b^2 4
  2. Bx=- a 2 + a^2+b^2 4 , y= b 2 + a^2+b^2 4
  3. Cx=- a 2 + a^2+b^2 4 , y=- b 2 + a^2+b^2 4
  4. Dx= a 2 + a^2+b^2 4 , y= b 2 + a^2+b^2 4

Correct answer

D. x= a 2 + a^2+b^2 4 , y= b 2 + a^2+b^2 4

Step-by-step solution

aligned & x^2+y^2-a x-b y=0 & (x- a 2 )^2+ (y- b 2 )^2= a^2+b^2 4 aligned which is circle having centre (h, k) ( a 2 , b 2 ) and radius =r= a^2+b^2 4 Its parametric equation is aligned & x=h+r = a 2 + a^2+b^2 4 & y=k+r = b 2 + a^2+b^2 4 aligned

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