Mathematics Past Questions and Answers

Find the integral values of x and y satisfying the inequality 3y + 5x \(\leq\) 15, given that y > 0, y < 3 and x > 0.

Solve the equations
m² + n² = 29
m + n = 7

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

Factorize 4x² - 9y² + 20x + 25