Home
Class 12
MATHS
Prove that the area of the triangle insc...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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.

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 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.

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.

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

Prove that the area of the triangle formed by the tangents at (x_(1),y_(1)),(x_(2)) "and" (x_(3),y_(3)) to the parabola y^(2)=4ax(agt0) is (1)/(16a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| sq.units.

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) =

The area of the triangle inscribed in the parabola y^(2)=4x the ordinates of whose vertices are 1,2 and 4 is

Show that the equation of tangent to the parabola y^(2) = 4ax " at " (x_(1), y_(1)) " is " y y_(1)= 2a(x + x_(1))

Write the formula for the area of the triangle having its vertices at (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3))