Mathematical Ab...

A subset H of a group (G,∗) is a group if:

The angle of elevation of the top of the building from the foot of the tower is 30 and the angle of the top of the tower from the foot of the building is 60. If the tower is 50 m high, find the height of the building.

In ΔPQR, side QR is produced to a point S, and exterior angle PRS = 100°. If RP = RQ, then measure of ∠PQR is:

Find the centre and radius of x² + y² + 6y = 0.

Find the number of terms in the expansion of (2x + 3y + z)⁷.

If the numerator and denominator of a fraction are decreased by 2 then the ratio becomes 2:1 and if the numerator is increased by 4 and the denominator by 3 then the ratio becomes 5:3 then what is the original fraction?

A dice is tossed thrice. Find the probability of getting an odd number at least once:

The shadow of a tower standing on a level plane is found to be 50 m longer when Sun’s elevation is 30° than when it is 60°. Find the height of the tower.

If b_yx = 0.5, b_xy = 0.46, then the value of r is: