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

The axis of the parabola y^2 = x is the line

The vertex of the parabola y^2 = 4x + 4y is

The vertex of the parabola y^2 + 4x = 0 is

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

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

PQ is a chord ofthe parabola y^2=4x whose perpendicular bisector meets the axis at M and the ordinate of the midpoint PQ meets the axis at N. Then the length MN is equal to

PQ is a normal chord of the parabola y^2= 4ax at P,A being the vertex of the parabola. Through P a line is drawn parallel to AQ meeting the x-axis in R. Then the length of AR is : (A) equal to the length of the latus rectum (B) equal to the focal distance of the point P (C) equal to the twice of the focal distance of the point P (D) equal to the distance of the point P from the directrix.

The axis of the parabola x^(2)=-4y is ……. .

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

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