Two equal parabola have the same vertex and their axes are at right angles. Prove that they cut again at an angle `tan^(-1) 3/4`.

Two equal parabolas have the same vertex and their axes are at right angles. Prove that their common tangent touches each at the end of their latus recta.

Two equal parabolas have the same vertex and their axes are at right angles. The length of the common tangent to them, is

If a normal to a parabola y^2 =4ax makes an angle phi with its axis, then it will cut the curve again at an angle

Two acute angles of a right triangle are equal. Find the two angles.

Can a triangle have three angles whose measures are (1)/(3) right angles, 1 right angles, 60^(@) ?

Prove that angle in the same segment of a circle are equal.

If a normal chord at a point on the parabola y^(2)=4ax subtends a right angle at the vertex, then t equals

The normal chord of a parabola y^2= 4ax at the point P(x_1, x_1) subtends a right angle at the

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

Find the equations of the normals at the ends of the latus- rectum of the parabola y^2= 4ax. Also prove that they are at right angles on the axis of the parabola.