The position vectors of points P, Q and R with respect to the origin are…
The position vectors of points P, Q and R with respect to the origin are ((4i – 5j),…
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Forces (F_{1} = begin{pmatrix} -5 & 4 end{pmatrix} N; F_{2} = begin{pmatrix} 2 \…
(a) Forces (F_{1} = begin{pmatrix} -5 & 4 end{pmatrix} N; F_{2} = begin{pmatrix} 2 \ 5 end{pmatrix} N;…
An object is thrown up a smooth plane inclined at an angle of 30°…
(a) An object is thrown up a smooth plane inclined at an angle of 30° to the horizontal.…
A survey indicated that 65% of the families in an area have cars. Find, correct…
A survey indicated that 65% of the families in an area have cars. Find, correct to three decimal…
The following table shows the distribution of marks obtained by some students in an examination….
The following table shows the distribution of marks obtained by some students in an examination. Marks 0-9 10-19…
Five female and seven male teachers applied for 4 vacancies in a Junior High…
(a) Five female and seven male teachers applied for 4 vacancies in a Junior High School. The teachers…
If (alpha) and (beta) are the roots of the equation (2x^{2} + 5x -…
(a) If (alpha) and (beta) are the roots of the equation (2x^{2} + 5x – 6 = 0),…
Express (frac{2x^{2} – 5x + 1}{x^{3} – 4x^{2} + 3x}) in partial fractions. (b)…
(a) Express (frac{2x^{2} – 5x + 1}{x^{3} – 4x^{2} + 3x}) in partial fractions. (b) If (begin{vmatrix} x…
The point P(3, -5) is rotated through an angle 60° anticlockwise about the origin….
(a) The point P(3, -5) is rotated through an angle 60° anticlockwise about the origin. (i) Obtain the…
The sum of the first n terms of a sequence is given by (S_{n}…
(a) The sum of the first n terms of a sequence is given by (S_{n} = frac{5n^{2}}{2} +…