An arch is in the form of a parabola with its axis vertical. The arch is `10` m high and `5` m wide at the base. How wide is it `2` m from the vertex of the parabola ?

An arch is in the from of a parabola with its axis vertical. The arch is 12 m high and 6 m wide at the base. How wide is it 6 m from the vertex of the parabola ?

An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 cm wide at the base. How is it 2 m from the vertex of the parabola ?

A bridge has a parabolic arch that is 10 m high in the centre and 30 m wide at the bottom. Find the height of the arch 6m from the centre, on either sides.

An arch is in the from of a semi - ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

L O L ' and M O M ' are two chords of parabola y^2=4a x with vertex A passing through a point O on its axis. Prove that the radical axis of the circles described on L L ' and M M ' as diameters passes though the vertex of the parabola.

The arch of a bridge is the shape of a semi ellipse having a horizontal span of 40 m and 16 m highest the centre. How high is the arch, 10m from the right/ left of the centre.

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 concrete bridge is designed as a parabolic arch. The road over bridge is 60 m long and the maximum height of the arch is 15m. What is the equation of the parabola.