Consider the inequations 5x - 4y + 12 < 0, x + y < 2, x < 0 and y > 0. Which one of the following points lies in the common region?

If the points with coordinates (-5, 0), (5p², 10p) and (5q², 10q) are collinear, then what is the value of pq where p ≠ q ?

What is the equation of the straight line which passes through the point (1, -2) and cuts off equal intercepts from the axes ?

A straight line passes through the point of intersection of x + 2y + 2 = 0 and 2x - 3y - 3 = 0. It cuts equal intercepts in the fourth quadrant. What is the sum of the absolute values of the intercepts?