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…
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) =…
Solve : (2x^{2} + x – 6
(a) Solve : (2x^{2} + x – 6 < 0) (b) Express (frac{5 – 2sqrt{10}}{3sqrt{5} + sqrt{2}}) in…
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…
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…
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…
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…
Eight coins are tossed at once. Find, correct to three decimal places, the probability…
(a) Eight coins are tossed at once. Find, correct to three decimal places, the probability of obtaining :…
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…
The images of (3, 2) and (-1, 4) under a linear transformation T are (-1,…
The images of (3, 2) and (-1, 4) under a linear transformation T are (-1, 4) and (7,…