If \(log_{y}\frac{1}{8}\) = 3, find the value of y.
A binary operation \(\Delta\) is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}{\sqrt{ab}}\), where a\(\neq\) 0, b\(\neq\) 0. Evaluate \(-3 \Delta -1\).
Simplify \(\frac{1}{(1-\sqrt{3})^{2}}\)
If \(x^{2} - kx + 9 = 0\) has equal roots, find the values of k.
Find the coordinates of the centre of the circle \(3x^{2}+3y^{2} - 4x + 8y -2=0\)
