The circle `x^2+y^2=5` meets the parabola `y^2=4x` at `P` and `Q` . Then the length `P Q` is equal to (A) 2 (B) `2sqrt(2)` (C) 4 (D) none of these

If the line y-sqrt(3)x+3=0 cuts the parabola y^(2)=x+2 at P and Q then AP.AQ is equal to

The line 2x-y+4=0 cuts the parabola y^(2)=8x in P and Q. The mid-point of PQ is (a) (1,2)(b)(1,-2)(c)(-1,2)(d)(-1,-2)

Normals at two points (x_(1)y_(1)) and (x_(2),y_(2)) of the parabola y^(2)=4x meet again on the parabola,where x_(1)+x_(2)=4. Then |y_(1)+y_(2)| is equal to sqrt(2)(b)2sqrt(2)(c)4sqrt(2) (d) none of these

The given circle x^(2)+y^(2)+2px=0 , p in R touches the parabola y^(2)=-4x externally then p =

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

Tangents drawn to circle (x-1)^(2)+(y-1)^(2)=5 at point P meets the line 2x+y+6=0 at Q on the axis.Length PQ is equal to

A tangent to the parabola y^(2)+4bx=0 meet, the parabola y^(2)=4ax in P and Q.Then t locus of midpoint of PQ is.