No part of India is situated on the equator. Is it possible to have a geostationary satellite which always remains over New Delhi?

Is it necessary for the plane of the orbit of a satellite to pass through the Centre of the earth?

Consider earth satellites in circular orbits. A geostationary satellite must be at a height of about 36000 Km from the earth’s surface. Will any satellite moving at this height be a geostationary satellite? Will any satellite moving at this height have a time period of 24 hours?

As the earth rotates about the axis, a person living on in his house at the equator goes in a circular orbit of radius equal to the radius of the earth. Why does he/she not feel weightless as a satellite passenger does?

Two satellites going in equatorial plane have almost radii. As seen from the earth one moves from east to west and other moves from west to east. Will they have the same time period as seen from the earth? If not which one will have less time period?