Multiple choice

If the common tangents to the parabola, $ x ^ { 2 } $ = 4 y and the circle, $ x ^ { 2 } + y ^ { 2 } = 4 $ intersect at the point P, then the distance of P from the origin, is

  1. $

    2 ( \sqrt { 2 } + 1 )

    $
  2. $

    3 + 2 \sqrt { 2 }

    $
  3. $

    2 ( 3 + 2 \sqrt { 2 } )

    $
  4. $

    \sqrt { 2 } + 1

    $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Common tangents to x^2 = 4y and x^2 + y^2 = 4. The intersection point P of common tangents to these curves is known to be at a distance of 2(sqrt(2) + 1) from the origin.

Keep practicing — related questions