`y^2 = 4x` be the parabola and the points `A(9,6), B(4,-4)` lie on the parabola such that area of `/_\ABC` is maximum (given `C` lies at the arc contain origin). Find the maximum area of `/_\ABC` (A) `101/2` (B) `69/2` (C) `125/4` (D) `521/3`

The focal distance of the point (9,6) on the parabola y^(2)=4x is

The focal distance of the point (9,6) on the parabola y^(2)=4x is

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

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

In Delta ABC , if a = 10 and b cot B + c cot C = 2(r + R) then the maximum area of DeltaABC will be

Find the area of the portion of the parabola y^2=4x cut off by the line y=x .

The tangent and the normal at the point A-= (4, 4) to the parabola y^2 = 4x , intersect the x-axis at the point B and C respectively. The equation to the circumcircle of DeltaABC is (A) x^2 + y^2 - 4x - 6y=0 (B) x^2 + y^2 - 4x + 6y = 0 (C) x^2 + y^2 + 4x - 6y = 0 (D) none of these