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AP EAMCET201923 Apr 2019Morning ShiftMathematicsParabolaActual

If ((h, k) ) be the point to which the origin has to be shifted in order to get the transformed equation of (y^2-4 x+6 y+17=0 ) as (y^2=4 a x ), then (h^2+k^2= )

Options

  1. A11
  2. B1
  3. C25
  4. D13

Correct answer

D. 13

Step-by-step solution

Given equation is (y^2-4 x+6 y+17=0 ) ( (y+3)^2=4(x-2) ) If origin is shifted to the point ((2,-3) ), then the equation (y^2-4 x+6 y+17=0 ) get transformed as (y^2=4 a x ). So, ( (h, k)=(2,-3) ) ( h^2+k^2=4+9=13 ) Hence, option (d) is correct.

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