A uniform wire frame `ABC` is in the shape of an equilateral triangle in `xy-`plane with centroid at the orgin. Then`:-`

In an equilateral triangle, prove that centroid and circumcentre coincide.

A wire frame in the shape of an equilateral triangle is hinged at one vertex so that it can swing freely in a vertical plane, with the plane of the Delta always remaining vertical. The side of the frame is 1//sqrt(3)m . The time period in seconds of small oscillations of the frame will be-

A wire frame in the shape of an equilateral triangle is hinged at one vertes so that it can swing freely in a vertical plane, with the plane of the Delta always remaining vertical. The side of the frame is 1//sqrt(3)m . The time period in secods of small oscillations of the frmae will be-

Find the ratio of the areas of an equilateral triangle ABC and square EFGC, if G is the centroid of the triangle ABC.

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of:

A piece of land is in the shape of an equilateral triangle. Its boundary has to be fenced with barbed wire. What is the length of the barbed wire required?

A wire of length 20m is to be cut into two pieces. One of the places will be bent into shape of a square and the other shape of an equilateral triangle. Where the wire should be cut so that the sum of the areas of the square and triangle is minimum?

The wire ABC shown in figure forms an equilateral triangle. Find the magnetic field B at the centre O of the triangle assuming the wire to be uniform.

The wire ABC shown in figure forms an equilateral triangle. Find the magnetic field B at the centre O of the triangle assuming the wire to be uniform.

The wire ABC shown in figure forms an equilateral triangle. Find the magnetic field B at the centre O of the triangle assuming the wire to be uniform.