There are 6 points in a plane. How many triangles can be formed with…
(a) There are 6 points in a plane. How many triangles can be formed with the points? (b)…
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If (2^{2x – 3y} = 32) and (log_{y} x = 2), find the values of x…
If (2^{2x – 3y} = 32) and (log_{y} x = 2), find the values of x and y. Explanation…
If (x + 2) and (x – 1) are factors of (f(x) = 6x^{4} +…
If (x + 2) and (x – 1) are factors of (f(x) = 6x^{4} + mx^{3} – 13x^{2}…
The sum of the 2nd and 5th terms of an arithmetic progression (AP) is 42….
The sum of the 2nd and 5th terms of an arithmetic progression (AP) is 42. If the difference…
ABCD is a square. Forces of magnitude 14N, 4N, 2N and (2sqrt{2} N) act along…
ABCD is a square. Forces of magnitude 14N, 4N, 2N and (2sqrt{2} N) act along the sides AB,…
Two forces, each of magnitude 16 N, are inclined to each other at an angle…
Two forces, each of magnitude 16 N, are inclined to each other at an angle of 60°. Calculate…
Calculate, correct to one decimal place, the angle between 5i + 12j and -2i +…
Calculate, correct to one decimal place, the angle between 5i + 12j and -2i + 3j. A. 54.8°…
A particle is projected vertically upwards from a height 45 metres above the ground with…
A particle is projected vertically upwards from a height 45 metres above the ground with a velocity of…
If (a = begin{pmatrix} 3 \ 2 end{pmatrix}) and (b = begin{pmatrix} -3 \ 5…
If (a = begin{pmatrix} 3 \ 2 end{pmatrix}) and (b = begin{pmatrix} -3 \ 5 end{pmatrix}), find a…
A lift moving upwards with a uniform acceleration of 5(ms^{-2}) carries a body of mass…
A lift moving upwards with a uniform acceleration of 5(ms^{-2}) carries a body of mass p kg. If…