A tangent is drawn to the parabola `y^(2)=4ax` at P such that it cuts the y-axis at Q.A line perpendicular to this tangent is drawn through Q which cuts the axis of the parabola at R. If the rectangle PQRS is completed, then find the locus of S.

A tangent is drawn to the parabola y^2=4a x at P such that it cuts the y-axis at Qdot A line perpendicular to this tangents is drawn through Q which cuts the axis of the parabola at R . If the rectangle P Q R S is completed, then find the locus of Sdot .

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is drawn perpendicular to AB meeting the axis at C.The projecton of BC on the axis of the parabola is

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

Find the equation of the line perpendicular to the line x/a-y/b=1 and passing through a point at which it cuts the x-axis.

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

The tangent at any point P onthe parabola y^2=4a x intersects the y-axis at Qdot Then tangent to the circumcircle of triangle P Q S(S is the focus) at Q is

Find the area bounded by the parabola y^(2)=4ax , y-axis and the line y = 2a.

The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -