Prove that the area of the traingle inscribed in the parabola `y^2=4ax` is `1/(8a)(y_1~y_2)(y_2~y_3)(y_3~y_1)`, where `y_1,y_2,y_3` are the ordinates of the vertices.

Show that the area of the triangle inscribed in the parabola y^2= 4ax is : (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| , where y_(1),y_(2),y_(3) are the ordinates of the angular points.

Prove that the area of the triangle inscribed in the parabola y^(2)=4ax is (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(2))(y_(3)-y_(1))| sq. units where y_(1),y_(2),y_(3) are the ordinates of its vertices.

Prove that the area of the triangle inscrbed in the paravbola y^(2)=4ax is (1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| sq. units where y_(1),y_(2),y_(3) are the ordinates of its vertices.

If y_1, y_2, y_3 be the ordinates of a vertices of the triangle inscribed in a parabola y^2=4a x , then show that the area of the triangle is 1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot

If y_1, y_2, y_3 be the ordinates of a vertices of the triangle inscribed in a parabola y^2=4a x , then show that the area of the triangle is 1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot

If y_1, y_2, y_3 be the ordinates of a vertices of the triangle inscribed in a parabola y^2=4a x , then show that the area of the triangle is 1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot

If y_1, y_2, y_3 be the ordinates of a vertices of the triangle inscribed in a parabola y^2=4a x , then show that the area of the triangle is 1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot

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

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=

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 its (y-y_1)(y-y_2)=y^2-4ax.