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AP EAMCET202124 Aug 2021Morning ShiftMathematicsParabolaActual

If x-2=t^2, y=2 t are the parametric equations of the parabola y^2=a(x-b) , then the value of a+b equals

Options

  1. A4
  2. B2
  3. C0
  4. D6

Correct answer

D. 6

Step-by-step solution

x-2=t^2, y=2 t are the parametric equations of the parabola y^2=a(x-b) . It will satisfy the equation aligned x & =t^2+2, y=2 t (2 t)^2 & =a (t^2+2-b ) 4 t^2=a t^2+a(2-b) aligned Comparing coefficient of t^2 and constant term aligned a & =4 and 0=a(2-b) b & =2 a+b & =4+2=6 aligned

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