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` .

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 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=

If (x+1,1)=(3,y-2), find the value of x and y.

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

if 2x+y=1 then find the maximum value of x^(2)y

Find the length of the chord of the parabola y^(2)=8x, whose equation is x+y=1

If x^2+y^2+1/y^2+1/y^2=4 then find the value of x^2+y^2

If (2,-8) is at an end of a focal chord of the parabola y^(2)=32x, then find the other end of the chord.

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)

If the tangents to the parabola y^(2)=4ax at (x_(1),y_(1)),(x_(2),y_(2)) intersect at (x_(3),y_(3)) then