Find the mean proportion between (6 + √8) and (3 –

The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is

If α and β are the roots of equation x² – x + 1 = 0, then which equation will have roots α³ and β³?

The value of = 3/4 ÷ 3/4  of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :

Quantity I – ³

Quantity II – 25⁴

If > 0 and < 0

If a + 1/a = -2 then the value of a¹⁰⁰⁰ + a^{- 1000} is

If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value of y, is:

If 2cos² Ɵ – 5cos Ɵ + 2 = 0,0⁰ < Ɵ < 90⁰ , then the value of (cosec Ɵ + cot Ɵ) is :

If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?