Mathematics Past Questions and Answers

Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.

If α and β are the roots of the equation 3x\(^2\) + 5x - 2 = 0, find the value of 1/α + 1/β

Given that \(p = 1 + \sqrt{2}\) and \(q = 1 - \sqrt{2}\), evaluate \(\frac{p^{2} - q^{2}}{2pq}\).

If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.

Given:
U = {Even numbers between 0 and 30}
P = {Multiples of 6 between 0 and 30}
Q = {Multiples of 4 between 0 and 30}
Find (P∪Q)^c