If (3x^{2} + 2y^{2} + xy + x – 7 = 0), find (frac{mathrm d…
If (3x^{2} + 2y^{2} + xy + x – 7 = 0), find (frac{mathrm d y}{mathrm d x})…
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Express (frac{2sqrt{2}}{sqrt{48} – sqrt{8} – sqrt{27}}) in the form (p + qsqrt{r}), where p,…
(a) Express (frac{2sqrt{2}}{sqrt{48} – sqrt{8} – sqrt{27}}) in the form (p + qsqrt{r}), where p, q and r…
If the quadratic equation ((2x – 1) – p(x^{2} + 2) = 0), where p…
If the quadratic equation ((2x – 1) – p(x^{2} + 2) = 0), where p is a constant,…
(m begin{pmatrix} 2 \ 1 end{pmatrix} + n begin{pmatrix} -1 \ 2 end{pmatrix} =…
(a) (m begin{pmatrix} 2 \ 1 end{pmatrix} + n begin{pmatrix} -1 \ 2 end{pmatrix} = begin{pmatrix} 5 \…
Forces (F_{1} = (3N, 210°)) and (F_{2} = (4N, 120°)) act on a particle…
(a) Forces (F_{1} = (3N, 210°)) and (F_{2} = (4N, 120°)) act on a particle of mass 7kg…
An object P of mass 6.5kg is suspended by two light inextensible strings, AP…
(a) An object P of mass 6.5kg is suspended by two light inextensible strings, AP and BP. The…
The table shows the frequency distribution of marks scored by some candidates in an examination….
The table shows the frequency distribution of marks scored by some candidates in an examination. Marks 0-9 10-19…
A bag contains 4 red, 6 blue and 8 green identical marbles. (a) If three…
A bag contains 4 red, 6 blue and 8 green identical marbles. (a) If three marbles are drawn…
A survey conducted revealed that four out of every twenty taxi drivers do not have…
A survey conducted revealed that four out of every twenty taxi drivers do not have a valid driving…
Find the equation of the tangent to curve (frac{x^{2}}{4} + y^{2} = 1) at…
(a) Find the equation of the tangent to curve (frac{x^{2}}{4} + y^{2} = 1) at point (1, frac{sqrt{3}}{2}).…