A particle moves P between points S and T such that SPT is always constant. Find the locus of P

Find the locus of the points equidistant from two straight line lines $y-5=0$ and $y-3=0$

The volume of hemispherical bowl is 718$\tfrac{2}{3}$ cm. Find its radius

Calculate the length of an arc of a circle of diameter 14cm which subtends an angle of 90^o at the centre of the circle

The area of a square is 144sq.cm, find the length of the diagonal

In the parallelogram PQRS above, find angle SQR

Find the size of each exterior angle of a regular octagon

If the lines $2y-kx+2=0$and $y+x-\tfrac{k}{2}=0$intersect at (1, – 2). Find the value of k

If f(x) = 3x – 2, P =$\left( \begin{matrix}   2 & 1  \\   -1 & 0  \\\end{matrix} \right)$and I is 2 × 2, identity matrix, evaluate f(p)

$\left( \begin{matrix}   3 & -2  \\   -7 & 5  \\\end{matrix} \right)+2\left( \begin{matrix}   -2 & 4  \\   3 & -1  \\\end{matrix} \right)$