If the point P(k, 0) divides the line segment joining the points A(2, –2) and B(–7, 4) in the ratio 1 : 2, then the value of k is

The distance between the points (a cosθ + b sinθ, 0) and (0, a sinθ – b cosθ), is

The total number of factors of a prime number is

The value of p, for which the points A(3,1), B(5, p) and C(7, —5) are collinear, is

If one of the zeroes of the quadratic polynomial x² + 3x + k is 2, then the value of k is