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MHT CET202411 May 2024Evening ShiftMathematicsCircleActual

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

Options

  1. Ax= a 2 + a ^2+ b ^2 2 , y= b 2 + a ^2+ b ^2 2
  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 2 , y= b 2 + a ^2+ b ^2 2
  4. Dx= a 2 + a ^2+ b ^2 4 , y= b 2 + a ^2+ b ^2 4

Correct answer

A. x= a 2 + a ^2+ b ^2 2 , y= b 2 + a ^2+ b ^2 2

Step-by-step solution

Given equation can be written as aligned & (x^2- a x+ a ^2 4 )+ (y^2- b y+ b ^2 4 )= a ^2 4 + b ^2 4 & (x- a 2 )^2+ (y- b 2 )^2= ( a ^2+ b ^2 4 )^2 & ~h = a 2 , k = b 2 and r = a ^2+ b ^2 4 aligned Parametric equations of circle are x= a 2 + a^2+b^2 2 and y= b 2 + a ^2+ b ^2 2

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