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Let P be the point on the parabola y^(2)...

Let P be the point on the parabola `y^(2)=4x` which is at the shortest distance from the centre S of the circle `x^(2)+y^(2)-4x-16y+64=0`. Let Q be the point on the circle dividing the line segment SP internally. Then

A

`SP=2sqrt(5)`

B

`SQ:QP=(sqrt(5)+1):2`

C

The x-intercept of the normal to the parabola at P is 6.

D

The slpe of the tangent to the circle at Q is `(1)/(2)`.

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