Consider the system of linear equation ax+by=0, cx+dy=0, 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 has a solution is 1.

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

If the system of linear equations ax +by+ cz =0 cx + ay + bz =0 bx + cy +az =0 where a,b,c, in R are non-zero and distinct, has a non-zero solution, then:

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

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=1\ &\ m!=p then the system of linear equations has- a. no solution b. \ infinite solutions c. unique solution d. \ unique solution if\ p=n

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=1\ &\ m!=p then the system of linear equations has- a. no solution b. \ infinite solutions c. unique solution d. \ unique solution if\ p=n

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

Let the system of linear equations A[x y z]=[0 1 0] where A is a matrix of set X If the system of linear equation has infinite solution then number of value of alpha is infinite If the system of linear equation has infinite solution then number of matrices is infinite If the system of linear equation has infinite solution then number of value of alpha is only 4 If the system of linear equation has infinite solution then number of matrices is 4

Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z are non zero. Then the system of equations a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0 has infinite solutions. because Statement II: If the homogeneous system of equations has no non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

Consider the system of equations ax+y+bz=0, bx+y+az=0 and ax+by+abz=0 where a, b in {0, 1, 2, 3, 4} . The number of ordered pairs (a, b) for which the system has non - trivial solutions is