From a point `(sintheta,costheta)`, if three normals can be drawn to the parabola `y^(2)=4ax` then the value of a is

If y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

Length of the shortest normal chord of the parabola y^2=4ax is

From the point (15, 12), three normals are drawn to the parabola y^2=4x . Then centroid and triangle formed by three co-normals points is (A) ((16)/3,0) (B) (4,0) (C) ((26)/3,0) (D) (6,0)

If the line x+y=6 is a normal to the parabola y^(2)=8x at point (a,b), then the value of a+b is ___________ .

Find the area of the parabola y^2=4ax and its latus rectum.

Find the length of the Latus rectum of the parabola y^(2)=4ax .

If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

How many distinct real tangents that can be drawn from (0,-2) to the parabola y^2=4x ?

The differential equation of the family of parabolas y^(2)=4ax is

Find the locus of the point from which the two tangents drawn to the parabola y^2=4a x are such that the slope of one is thrice that of the other.