Light rays from the sun after reflection at a plane mirror pass throgh a hole in a wall. After some time due to the shift in the position of the sun, the angle of incidence of sun light increases by 10^(@) . By what angle, should the mirror be rotated, such that the reflected rays continue to pass through the hole in the wall?

In the case of a convex lens, show the path of the refraction ray when the incident ray of light (1) is parallel to the principal axis of the lens (2) passes through the focus of the lens (3) passes through the optical centre of the lens.

A coplanar beam of ligth emerging from a point source has the equation lambdax-y+2(1+alambda)-0, lambda in R. The rays of the beam strike an elliptical surface and get reflected. The reflected rays form another convergent beam having eqution mux-y+2(1-mu)=0, mu in R . Further, it is found that the foot of the perpendicular from the point (2,2) upon any tangent to the ellipse lies on the circle x^(2)+y^(2)-4y-5=0 The total distance travelled by an incident ray starting at one focus and the correcponding reflected ray terminating at another focus is

Prove that normal at any point (except vertex) of ellipse does not pass through the focus.

Find the equation of the ellipse passing through (4, 1) with focus as (+- 3, 0)

A ball 4 s after the instant it was thrown from the ground passes through a point P, and strikes the ground after 5 s from the instant it passes through the point P. Assuming acceleration due to gravity to be 9.8 m//s^(2) find height of the point P above the ground.

A light ray emerging from the point source placed at P(1,3) is reflected at a point Q in the axis of x. If the reflected ray passes through the point R(6,7), then the abscissa of Q is:

A ray of light is sent along the line which passes through the point (2,3). The ray is reflected from the point P on x-axis.If the reflected ray passes through the point (6,4), then the co-ordinates of P are

A ray of light passing through the point (1,2) reflects on the xaxis at point A and the reflected ray passes through the point (5,3) . Find the coordinates of A.