Mathematics Past Questions and Answers

The first term of a Geometric Progression (GP) is \(\frac{3}{4}\), If the product of the second and third terms of the sequence is 972, find its common ratio.

If \(\sin\theta = \frac{3}{5}, 0° < \theta < 90°\), evaluate \(\cos(180 - \theta)\).

Find the radius of the circle \(x^{2} + y^{2} - 8x - 2y + 1 = 0\).

In how many ways can the letters of the word 'ELECTIVE' be arranged?

If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} + 5x + n = 0\), such that \(\alpha\beta = 2\), find the value of n.