If x = p + q, y = , where is a complex cube root of unity, then xyz equals to
p3 + q3
p3 - pq + q3
1 + p3 + q3
p3 - q3
If x1 and x2 are the real roots of the equation x2 - kx + c = 0, then the distance between the points A(x1, 0) and B(x2, 0) is
If p and q are distinct prime numbers and if the equation x2 - px + q = 0 has positive integers as its roots, then the roots of the equation are
1, - 1
2, 3
1, 2
3, 1
The cubic equation whose roots are the squares of the roots of x3 - 2x2 + 10x - 8 = 0, is
A.
Out of thirty points in a plane, eight of them are collinear. The number of straight lines that can be formed by joining these points, is
296
540
408
348
If n is an integer with 0 11, then the minimum value of n!(11 - 1)! is attained when a value of n equals to
11
5
7
9