Q205 / 270 · NDA 2019 (Phase 1) · Mathematics

The two parabolas $y^2=4 a x$ and $x^2=4 a y$ intersect

  • Correct answer
    A
    at two points on the line $y=x$
  • B
    only at the origin
  • C
    at three points one of which lies on $y+x=0$
  • D
    only at (4a, 4a)

Solution

The parabolas $y^2=4 a x$ and $x^2=4 a y$ They intersect at $(0,0)$ and $(4 a, 4 a)$ These points lie on $y=x$

Hence, the correct answer is option: 'A'.

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