1997 - JAMB Mathematics Past Questions and Answers - page 3

Determine x + y if (\begin{pmatrix} 2 & -3 \ -1 & 4 \end{pmatrix}) (\begin{pmatrix} x \ y \end{pmatrix}) = (\begin{pmatrix}-1 \ 8 \end{pmatrix})

Find the non-zero positive value of x which satisfies the equation (\begin{vmatrix} x & 1 & 0 \ 1 & x & x \ 0 & 1 & x\end{vmatrix}) = 0

Each of the base angles of a isosceles triangle is 59^o and the verticles of the triangle lie on a circle. Determine rhe angle which the base of the triangle subtends at the centre of the circle.

A chord of a circle of a diameter 42cm subtends an angle of 60^o at the centre of the circle. Find the length of the mirror arc

An arc of a circle subtends an angle 70^o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.((\pi) = (\frac{22}{7}))

A cone with the sector angle of 45^o is cut out of a circle of radius of the cone.

The angle between the positive horizontal axis and a given line is 135^o. Find the equation of the line if it passes through the point (2,3)

A point P moves so that is equidistant from point L and M. If LM is 6cm, find the distance of P from LM when P is 10cm from L

Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2

The angle of elevation of a building from a measuring instrument placed on the ground is 30^o. If the building is 40m high, how far is the instrument from the foot of the building?