If \(a=\frac{\sqrt{5}+2}{\sqrt{5}-2}\) and \(b=\frac{\sqrt{5}-2}{\sqrt{5}+2}\) , then the value of 2a2 + 2b2 − 5ab is equal to:
The value of a3 + b3 + c3 − 3abc , when a = 125, b = 127 and c = 129, is:
If cosec A = 10, then what is the value of 20 sin A + \(-9\sqrt{11}\) sec A? Given that A is an acute angle.
The area of an equilateral triangle is \(10.24\sqrt{3}\,\text{m}^2\). Its perimeter (in m) is:
The square of the diagonal of a cube is 2175 cm2 . What is the total surface area (in cm2) of the cube?