An aeroplane flies due North from airport P to Q and then flies due east to R. If Q is equidistant from P and R, find the bearing of P from R

Find the value of P, if the line which passes through (– 1, –p) and (–2p, 2) is parallel to the line $2y+8x-17=0$

 In the diagram above, O is the centre of the circle, POM is a diameter and $\angle MNQ={{42}^{\text{o}}}$. Calculate $\angle QMP$  

Which of the following is the graph of $\sin \theta $for $-\frac{\pi }{2}\le \theta \le \frac{3\pi }{2}$

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm². Find the distance between the parallel sides.

In the diagram above PQ is parallel to RS. What is the $\alpha +\beta +\gamma $

Find the equation of the locus of a point P(x, y), which is equidistant from Q (0, 0) and R (2, 1)

An arc of a circle subtends an angle of 30^oon the circumference of radius 21cm. Find the length of the arc. [take $\pi =\tfrac{22}{7}$]

The sum of the first term of an arithmetic progression is 252, if the first term is –16 and the last term is 72. Find the number of terms in the series.

A matrix P has an inverse ${{P}^{-1}}=\left( \begin{matrix}   1 & -3  \\   0 & 1  \\\end{matrix} \right)$find P