1995 - JAMB Mathematics Past Questions and Answers - page 3

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

Find the sum to infinity of the following sequence 1. \(\frac{9}{10}\), 2. (\(\frac{9}{10}\)), 3. (\(\frac{9}{10}\))

\(\begin{vmatrix} -2 & 1 & 1 \ 2 & 1 & k \1 & 3 & -1 \end{vmatrix}\) = 23

If x = \(\begin{pmatrix} 1 & 2 \ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \ 4 & 3 \end{pmatrix}\). Find xy.

In a triangle xyz, < yxz = 44 and < xyz = 112^o. Calculate the acute angle between the internal bisectors of < xyz and < xzy

Find the distance between two towns p(45^o N, 30^oW) and Q(15^oS, 30^oW) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40, find < xpy

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60^o. Calculate the height of the water tank.

the derivative of cosec x is