Shoe that the length of the chord of contact of tangents drawn from `(x_1,y_1)`, to the parabola `y^2=4ax` is `1/asqrt((y_1^2-4ax_1)(y_1^2+4a^2))`

Show that the length of the chord of contact of the tangents drawn from (x_1,y_1) to the parabola y^2=4ax is 1/asqrt[(y_1^2-4ax_1)(y_1^2+4a^2)]

Show that the length of the chord of contact of the tangents drawn from (x_1,y_1) to the parabola y^2=4ax is 1/asqrt[(y_1^2-4ax_1)(y_1^2+4a^2)]

Shoe that the length of the chord of contact of tangents drawn from (x_(1),y_(1)), to the parabola y^(2)=4ax is (1)/(a)sqrt((y_(1)^(2)-4ax_(1))(y_(1)^(2)+4a^(2)))

Show that the length of the chord of contact of the tangents drawn from (x_(1),y_(1)) to the parabola y^(2)=4ax is (1)/(a)sqrt((y_(1)^(2)-4ax_(1))(y_(1)^(2)+4a^(2)))

What is the length of the focal distance from the point P(x_(1),y_(1)) on the parabola y^(2) =4ax ?

Angle between tangents drawn from the point (1, 4) to the parabola y^2 = 4ax is :

Area of the triangle formed by the tangents from (x_1,y_1) to the parabola y^2 = 4 ax and its chord of contact is (y_1^2-4ax_1)^(3/2)/(2a)=S_11^(3/2)/(2a)

Area of the triangle formed by the tangents from (x_1,y_1) to the parabola y^2 = 4 ax and its chord of contact is (y_1^2-4ax_1)^(3/2)/(2a)=S_11^(3/2)/(2a)

Area of the triangle formed by the tangents from (x_(1),y_(1)) to the parabola y^(2)=4ax and its chord of contact is ((y_(1)^(2)-4ax_(1))^((3)/(2)))/(2a)=(S_(11)^((3)/(2)))/(2a)