The focus of a parabolic mirror as shown in the figure is at a distance of 6 m from its vertex. If the mirror is 20 cm deep, show that `MN = 8 sqrt30` m.

The focus of a parabolic mirror as shown in the figure is at a distance of 5 cm from its vertex. If the mirror is 45 cm deep, find the distance AB.

An object is at a distance of 10 cm from a spherical mirror and the image of the object is at a distance of 30 cm from the mirror on the same side as the object.Is the mirror concave or convex?What is its focal length?

An object is at a distance of 5 m from a convex mirror of focal length 10 cm.Where is he image formed ?

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

A concave mirror of focal length 25 cm forms the real image of a point object at a distance O lying on its principal axis at a distance of 50 cm from the mirror. The mirror is cut into two halves and are drawn a distance of 1 cm apart in the direction perpendicular to the optical axis .How will the two halves of the concave mirror produce the image of the point object O?

An object is plced at a distance of 25 cm from a shperical mierror and its image is formed behind the mirror at a distance of 5 cm.Find the focal length of the mirror.Is the mirror concave or convex in nature?

The axis of a parabola is along the line y=x and the distance of its vertex and focus from origin are sqrt(2) and 2sqrt(2) , respectively. If vertex and focus both lie in the first quadrant, then find equation of the parabola.

Calculate the position of image, when an object is placed at a distance of 15 cm from a convex mirror having focal length 0.45 m.

Two plane mirrors l and m are placed perpendicular to each other as shown in the figure. An incident ray AB to the first mirror is reflected in the directin of BC and then reflected by the second mirror in the direction CD. Prove that AB||CD