area of the triangle formed by the tangents at the points `(4, 6), (10,8)` and `(2, 4)` on the parabola `y^2 - 2x = 8y - 20,` is in sq. units)

If the area of the triangle formed by the points (1,2) (2,3) and a,4) is 8 sq. units find a.

The area of the triangle formed by the tangent to the curve y=(8)/(4+x^(2)) at x=2 on it and the axes is

Show that the area of the triangle formed by the tangent and the normal at the point (a,a) on the curve y^2 (2a-x)=x^3 and the line x=2a is (5a^2)/4 sq. units.

The area of the triangle formed by the tangent to the curve y=(8)/(4+x^(2)) at x=2 and the co-ordinate axes is

The area of the triangle formed by the tangent to the curve y=8//(4+x^2) at x=2 and the co-ordinates axes is

The area of the triangle formed by the tangent to the curve y=(8)/(4+x^(2)) at x=2 and the co-ordinate axes is

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.