Find the value of `a \ a n d \ b` if the system of equation `a^2x-b y=a^2-b \ a n d \ b x-b^2y=2+4b` (i) posses unique solution (ii) infinite solutions

For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y+b z=5 x+y+3z=4 has: (i) a unique solution (ii) infinitely many solutions no solution

For what values of a and b, the system of equations 2x+a y+6z=8, x+2y+b z=5, x+y+3z=4 has: (i) a unique solution (ii) infinitely many solutions (iii) no solution

Solve the following system of equations: x+y=a+b ,\ \ \ \ a x-b y=a^2-b^2

If a m!=b l , then the system of equations a x+b y=c ,\ \ \ \ l x+m y=n (a) has a unique solution (b) has no solution (c) has infinitely many solutions (d) may or may not have a solution

If the system of equations 2x+3y=7,\ \ \ \ (a+b)x+(2a-b)y=21 has infinitely many solutions, then

If a+b=10\ \ a n d\ \ \ a b=16 , find the value of a^2-a b+b^2\ a n d\ \ a^2+a b+b^2

The value of k for which the system of equations k x-y=2 and 6x-2y=3 has a unique solution, is (a) k=3 (b) k !=3 (c) k !=0 (d) k =0

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=-2\ 7\ m+n+p!=0 then system of linear equations has- a. no solution b. infinite solutions c. unique solution d. finitely many solution

The value of k for which the system of equations 2x+3y=5,\ \ \ \ 4x+k y=10 has infinite number of solutions, is (a) 1 (b) 3 (c) 6 (d) 0

Number of triplets of a, b & c for which the system of equations, ax - by = 2a - b and (c +1)x+cy = 10-a + 3 b has infinitely many solutions and x = 1. y = 3 is one of the solutions, is: (A) exactly one (B) exactly two (C) exactly three (D) infinitely many