The triangle formed by the tangent to the parabola `y^2=4x` at the point whose abscissa lies in the interval `[a^2,4a^2]`, the ordinate and the X-axis, has greatest area equal to :

The length of the subtangent to the parabola y^(2)=16x at the point whose abscissa is 4, is

The triangle formed by the tangent to the parabola y=x^(2) at the point whose abscissa is k where kin[1, 2] the y-axis and the straight line y=k^(2) has greatest area if k is equal to

The orthocenter of a triangle formed by 3 tangents to a parabola y^(2)=4ax lies on

The normal meet the parabola y^(2)=4ax at that point where the abscissa of the point is equal to the ordinate of the point is

The triangle formed by the tangents to a parabola y^(2)=4ax at the ends of the latus rectum and the double ordinate through the focus is

The line y=2x+c is tangent to the parabola y^(2)-4y-8x=4 at a point whose abscissa is alpha , then the ordered pair (alpha, C) isn

Find the slope of the tangent to the curve y=3x^(2)-4x at the point, whose x - co - ordinate is 2.

The equation of tangent to the curve y=x^(2)+4x at the points whose ordinate is -3 are

A tangent is drawn to the parabola y^2=4a x at the point P whose abscissa lies in the interval (1, 4). The maximum possible area f the triangle formed by the tangent at P , the ordinates of the point P , and the x-axis is equal to 8 (b) 16 (c) 24 (d) 32