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

The first term of an AP is p and the common difference is q, then its 10^th term is

The quadratic polynomial, the sum of whose zeroes is –5 and their product is 6, is

The total number of factors of a prime number is

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