#### If the common tangents to the parabola, x2=4y and the circle, x2+y2=4 intersect at the point P, then the distance of P from the origin, is : Option 1) Option 2) Option 3) Option 4)

As we learnt in

Standard equation of parabola -

- wherein

Condition of tangency -

- wherein

If    is a tangent to the circle

Tangent to is

Also

If we put D=0

Option 1)

This option is incorrect

Option 2)

This option is incorrect

Option 3)

This option is correct

Option 4)

This option is incorrect