The circle `omega` touches the circle `Omega` internally at P. The centre O of `Omega` is outside `omega`. Let XY be a diameter of `Omega` which is also tangent to `omega`. Assume PY > PX. Let PY intersect `omega` at Z. If YZ= 2PZ ,what is the magnitude of `/_`PYX in degrees? Ans: 15]

Let z,omega z and z+omega z represent three vertices of Delta ABC, where o is cube root unity,then

Suppose w is a cube root of unity with omega != 1. Suppose P and Q are the points on the complex plane defined by omega and omega^2. If O is the origin, then what is the angle between OP and OQ?

A particle P is moving with uniform speed in a circular path . C is the centre of circle and AB is a diameter of circle. Let omega_(A) be the angular speed is particle about C and A. Then value of omega_(C)//omega_(A) is

A small ring P is threaded on a smooth wire bent in the form of a circle of radius a and centre O. The wire is rotating with constant angular speed omega about a vertical diameter xy, while the ring remains at rest relative to the wire at a distance (a)/(2) from xy. Then omega^2 is equal to: