One ticket is selected at random from 100 tickets numbered 00, 01, 02,..., 98, 99. If x1 and x2 denote the sum and product of the digits on the tickets, then P(x1 = 9/x2 = 0) is equal to
None of these
The shortest distance from the plane 12x + y + 3z = 327 to the sphere x2 + y2 + z2 + 4x - 2y - 6z = 155 is
13
26
39
If A = , then (A(adj A)A- 1) is equal to
None of these
A.
If A and B are two matrices such that rank of A = m and rank of B = n, then
rank (AB) rank (B)
rank (AB) rank (A)
rank (AB) min (rank A, rank B)
rank(AB) = mn
Let a, b and c be positive real numbers. The following system of equations in x, y and z,
finitely many solutions
no solution
unique solution
infinitely many solutions