AB is a chord of the parabola `y^(2)=4ax` such that the normals at A and B intersect at the point C(9a, 6a). If the area of triangle ABC is `320m^(2)`, then a is _________

AB is a chord of y^(2)=4x such that normals at A and B intersect at C(9,6)

AB is a chord of the circle x^(2)+y^(2)=9 .The tangents at A and B intersect at C. If M(1,2) is the midpoint of AB,then the area of triangle ABC is

AB is a chord of y^2=4x such that normals at A and B intersect at C(9,6) and the tengent at A and B at point T, find (CT)^2//13

The tangent at P( at^2, 2at ) to the parabola y^(2)=4ax intersects X axis at A and the normal at P meets it at B then area of triangle PAB is

The normal chord of the parabola y^(2)=4ax subtends a right angle at the focus.Then the end point of the chord is

The tangent at P(at^(2), 2at) to the parabola y^(2)=4ax intersects X axis at A and the normal at P meets it at B then area of triangle PAB( in sq . units) is

Normal at a point P(a,-2a) intersects the parabola y^(2)=4ax at point Q.If the tangents at P and Q meet at point R if the area of triangle PQR is (4a^(2)(1+m^(2))^(3))/(m^(lambda)). Then find lambda

The points A(3, 6) and B lie on the parabola y^(2)=4ax , such that the chord AB subtends 90^(@) at the origin, then the length of the chord AB is equal to