If logx/(a²+b²+ab) = logy/(b²+c²+bc) = logz/(c²+a²+ac) then, the value of x^(a-b).y^(b-c).z^(c-a) is

(xⁿ - aⁿ) is completely divisible by (x - a), if

If o = 4/3 and h = 6 then h/o + 4/o² =

If (z – 5) = 4z – 8, then which of the following could be the value of z?

If X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)² + (Y+1/Y)² ?

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

If x + y = 2, xy = 1, then the values of x and y are respectively

If a + b = 0, then (1 + x^a)^-1 + (1 + x^b)^-1 - x^a+b =

When x⁵– 5x⁴+ 9x³– 6x²– 16x + 13 is divided by x² – 3x + a, the quotient and the remainder are x³ 2x²+ x + 1 and  – 15x + 11, respectively. The value of a is equal to

The system of equations x + 2y = 3 and 2x + 4y = 3, has