The coordinates of the ends of a focal chord of the parabola `y^2=4a x` are `(x_1, y_1)` and `(x_2, y_2)` . Then find the value of `x_1x_2+y_1y_2` .

The coordinates of the ends of a focal chord of the parabola y^(2)=4ax are (x_(1),y_(1)) and (x_(2),y_(2)). Then find the value of x_(1)x_(2)+y_(1)y_(2)

If the coordinates of the ends of a focal chord of the parabola y^(2)=4ax are (x_(1),y_(1)) "and" (x_(1),y_(2)) , then prove that x_(1)x_(2)=a^(2),y_(1)y_(2)=4a^(2) .

If the ends of a focal chord of the parabola y^(2) = 8x are (x_(1), y_(1)) and (x_(2), y_(2)) , then x_(1)x_(2) + y_(1)y_(2) is equal to

If the ends of a focal chord of the parabola y^(2)=4ax are (x_(1),y_(1)) and (x_(2),y_(2)) then x_(1)x_(2)+y_(1)y_(2) =

If the tangents to the parabola y^(2)=4ax at (x_1,y_1) and (x_2,y_2) meet on the axis then x_1y_1+x_2y_2=

The co-ordinates of end points of a focal chord of an ellipse are (x_1,y_1) and (x_2,y_2) .Prove that y_1y_2+4x_1x_2=0

If the ends of a focal chord of the parabola y^(2)=8x are (x_(1),y_(1)) and (x_(2),y_(2)) , then x_(1)x_(2)+y_(1)y_(2) is equal to a)12 b)20 c)0 d)-12

If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x_1,y_1) and (x_2,y_2), respectively, then (a) x_1=y_2 (b) x_1=y_1 (c) y_1=y_2 (d) x_2=y_1

If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x_1,y_1) and (x_2,y_2), respectively, then (a) x_1=y_2 (b) x_1=y_1 (c) y_1=y_2 (d) x_2=y_1

If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x_1,y_1) and (x_2,y_2), respectively, then x_1=y^2 (b) x_1=y_1 y_1=y_2 (d) x_2=y_1