In the diagram above, XZ is the diameter of the circle XYZW with center O and radius $\tfrac{15}{2}cm$. If XY =12 cm, find the area of the triangle XYZ

Find the equation of the set of points which are equidistant from the parallel line x =1 and x = 7

A  chord of a circle subtends an angle of 120^oat the centre of a circle of diameter $4\sqrt{3}cm$. Calculate the area of the major sector.

In the diagram above, PST is a straight line $PQ=QS=RS$, if $\angle RST={{72}^{\circ }}$, find x 

If x varies directly as $\sqrt{n}$and x = 9 when n = 9, find x when n = $\frac{17}{9}$

The sum to infinity of the series $1+\tfrac{1}{3}+\tfrac{1}{9}+\tfrac{1}{27}+---$ is

If $N=\left( \begin{matrix}   3 & 5 & -4  \\   6 & -3 & -5  \\   -2 & 2 & 1  \\\end{matrix} \right)$, find $\left| N \right|$

The binary operation $*$ is defined on the set of integers p and q by $p*q=pq+p+q,$find $2*(3*4)$

If –2 is the solution of the equation  2x + 1 – 3c = 2c + 3x – 7, find the value of c

The inverse of the function $f(x)=3x+4$ is