The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :

Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true?

The system of linear equations
x + y + z = 2
2x + 3y + 2z = 5
2x + 3y + (a² – 1) z = a + 1 then

Three circles of radii a, b, c (a < b < c) touch each other externally. If they have x-axis as a common tangent, then :