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

Prove that two parabolas having the same focus and their axes in opposite directions, cut at right angles.

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

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

If the parabola y^(2)=4ax,a>0 cuts the hyperbola xy=sqrt(2) at right angles,then a=

Prove that the curves x=y^(2) and cut at right angles* if cut at right angles* if 8k^(2)=1

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