Find the value of sin265o +

If x, y, z are the three factors of a ³– 7a – 6, then value of x + y + z will be

If (a² + 1/a²) = 27, then find the value of (a³ - 1/a³).

(u - 5) ² + (v + 2) ² + (w – 4) ² = 0, then find the value of 4u - v + w.

If the ratio of the areas of two triangles is 4:3 and the ratio of their heights is 3:4, then the ratio of the lengths of their bases will be

If AB = x + 3, BC = 2x and AC = 4x − 5, then for what value of ‘x’ does B lie on AC?

If (x² + y²) = 9 and (xy)² = 3, then find the value of (x⁴ + y⁴).

x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x ³  + y ³  + z ³  – 3xyz.

If √n + (1/√n) = 6, then find the value of n + (1/n).