If `PQ` be a focal chord of a parabola, then the tangent at `P` and normal at `Q` (A) are perpendicular (B) make an angle of `45^0` (C) are parallel (D) make an angle of `60^0`

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is (a)6 (b) 4 (c) 3 (d) none of these

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is 6 (b) 4 (c) 3 (d) none of these

The focal chords of the parabola y^(2)=16x which are tangent to the circle of radius r and centre (6, 0) are perpendicular, then the radius r of the circle is

Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the parabola at P and Q meet at a point lying on the line y = 2x + a, a > 0 . Length of chord PQ is

P(-3, 2) is one end of focal chord PQ of the parabola y^2+4x+4y=0 . Then the slope of the normal at Q is

Let PQ be a focal chord of the parabola y^(2)=4ax . The tangents to the parabola at P and Q meet at point lying on the line y=2x+a,alt0 . If chord PQ subtends an angle theta at the vertex of y^(2)=4ax , then tantheta=

IF P_1P_2 and Q_1Q_2 two focal chords of a parabola y^2=4ax at right angles, then

If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4y = 0 then slope of the normal at Q is

Prove that the tangents at the extremities of any chord make equal angles with the chord.

If PQ and Rs are normal chords of the parabola y^(2) = 8x and the points P,Q,R,S are concyclic, then