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Given that (tan 2A = frac{2 tan A}{1 – tan^{2} A}), evaluate (tan 15°), leaving…

Given that (tan 2A = frac{2 tan A}{1 – tan^{2} A}), evaluate (tan 15°), leaving your answer in…
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The probabilities of Rotey obtaining the highest mark in Mathematics, Physics and Biology tests are…

The probabilities of Rotey obtaining the highest mark in Mathematics, Physics and Biology tests are 0.9, 0.75 and…
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Solve the simultaneous equations : (log_{2} x – log_{2} y = 2 ; log_{2} (x…

Solve the simultaneous equations : (log_{2} x – log_{2} y = 2 ; log_{2} (x – 2y) =…
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If the quadratic equation ((x + 1)(x + 2) = k(3x + 7)) has equal…

If the quadratic equation ((x + 1)(x + 2) = k(3x + 7)) has equal roots, find the…
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The position vectors of the points X and Y are (x = (-2i +…

(a) The position vectors of the points X and Y are (x = (-2i + 5j)) and (y…
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Solve : (2x^{2} + x – 6

(a) Solve : (2x^{2} + x – 6 < 0) (b) Express (frac{5 – 2sqrt{10}}{3sqrt{5} + sqrt{2}}) in…
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A particle moves from point O along a straight line such that its acceleration at…

A particle moves from point O along a straight line such that its acceleration at any time, t…
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A manufacturer produces light bulbs which are tested in the following way. A batch…

(a) A manufacturer produces light bulbs which are tested in the following way. A batch is accepted in…
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Two ships M and N, moving with constant velocities, have position vectors (3i +…

(a) Two ships M and N, moving with constant velocities, have position vectors (3i + 7j) and (4i…
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The table gives the distribution of marks of 60 candidates in a test. Marks 23-25…

The table gives the distribution of marks of 60 candidates in a test. Marks 23-25 26-28 29-31 32-34…
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