If the common tangent to the parabolas y^2=4x and x^2=4y also touches the circle, x^2+y^2=c^2, then c is...

Question

If the common tangent to the parabolas y^2=4x and x^2=4y also touches the circle, x^2+y^2=c^2, then c is equal to :

Accepted Answer

(C)

JEE Main 2020 Mathematics question