The perpendicular bisector of a line XY is the locus of a point.

A solid metal of side 3 cm is placed I a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank hold?

A chord of a circle of radius 7cm is 5cm from the centre of the circle. What is the length of the chord?

A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square?

What is the size of each interior angle of a 12–sided regular polygon? 

The inverse of matrix N =$\left( \begin{matrix}   2 & 3  \\   1 & 4  \\\end{matrix} \right)$ is

Evaluate $\left| \begin{matrix}   4 & 2 & -1  \\   2 & 3 & -1  \\   -1 & 1 & 3  \\\end{matrix} \right|$

If $\left| \begin{matrix}   2 & 3  \\   5 & 3x  \\\end{matrix} \right|=\left| \begin{matrix}   4 & 1  \\   3 & 2x  \\\end{matrix} \right|$ find the value of x

A binary operation $\oplus $on real number us defined by $x\oplus y=xy+x+y$for two real numbers x and y. Find the value of $3\oplus -\tfrac{2}{3}$

The second term of a geometric series is 4, while the fourth term is 16. Find the sum of the first five terms