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JEE Main20254 Apr 2025Evening ShiftMathematicsParabolaActual

The axis of a parabola is the line y=x and its vertex and focus are in the first quadrant at distances 2 and 2 2 units from the origin, respectively. If the point (1, k ) lies on the parabola, then a possible value of k is :-

Options

  1. A4
  2. B9
  3. C3
  4. D8

Correct answer

B. 9

Step-by-step solution

Directrix x+y=0 aligned & PS = PM & (1-2)^2+( K -2)^2 = (1+ K ) 2 & 2 ~K ^2+8-8 ~K +2= K ^2+1+2 ~K & ~K ^2-10 ~K +9=0 & ~K =9 & option (2) aligned

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