Consider the system of equations ax + by = 0; cx + dy = 0, where `a, b, c, d in {0,1}`)STATEMENT-1: The probability that the system of equations has a unique solution is 3/8 STATEMENT-2: The probability that the system of equations has a solution is 1

The system of equations AX=D has unique solution if

Which of the following system of equations has unique solutions

Two fair dice are thrown. The numbers on them are taken as lamda and µ, and a system of linear equations x+ y+z =5 x+2y +3z= µ x + 3y+ lamdaz = 1 is constructed. If p is the probability that the system. has a unique solution and q is the probability that the system has no solution, then :

Given a, b in {0,1,2,3,4............., 9, 10). Consider the system of equations x+y+z=4 2x + y + 3z=6 x + 2y + az = b Let L: denotes number of ordered pairs (a, b) so that the system of equations has unique solution M: denotes number of ordered pairs (a, b) so that the system of equations has no solution and N: denotes number of ordered pairs (a, b) so that the system of equations has infinite solutions.Find (L + M-N).

If the system of equations x+ay=0,az+y=0, and ax+z=0 has infinite solutions,then the value of equation has no solution is -3 b.1 c.0 d.3

The equation 1+sin^(2)ax=cos x has a unique solution then a is

Write the values of k for which the system of equations x+ky=0,2x-y=0 has unique solution.