Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

ΔABC is similar to ΔDEF. If area of ΔABC is 9 sq.m. and area of ΔDEF is 16 sq.cm. and BC = 2.1 m. Then the length of EF will be 

If a+ 1/a = -2 then the value of

a¹⁰⁰⁰+a^-1000 is

If a³ = 117 + b³ and a = 3+b, then the value of a+b is:

The value of x which satisfies the equation

x+a²+2c²/b+c + x+b²+2a²/c+a + x+c+2b²/a+b = 0 is