The line `x-y+2=0` touches the parabola `y^2 = 8x` at the point (A) `(2, -4)` (B) `(1, 2sqrt(2))` (C) `(4, -4 sqrt(2)` (D) `(2, 4)`

The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

if the line 4x +3y +1=0 meets the parabola y^2=8x then the mid point of the chord is

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)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is