A fair die is tossed twice. Find the probability of obtaining a 3 and a 5.
If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).
Find the values of x at the point of intersection of the curve \(y = x^{2} + 2x - 3\) and the lines \(y + x = 1\).
Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\).
A straight line makes intercepts of -3 and 2 on the x- and y- axes respectively. Find the equation of the line.