Let a, , R . Consider the system of linear equations ax+2y= 3x-2y= Which of the following statement(s) is(are) correct?

JEE Advanced 2016 Mathematics question

Let . Consider the system of linear equations

ax+2y=λ

3x-2y=μ

Which of the following statement(s) is(are) correct?

(A)If , then the system has infinitely many solutions for all values of and
(B)If , then the system has a unique solution for all values of and Correct
(C)If , then the system has infinitely many solutions for Correct
(D)If , then the system has no solution for Correct

Answer: (B),(C),(D)

Solution

The coefficient determinant is , which is zero only for . (B) For the determinant is non-zero, so there is a unique solution for every : true. For the equations are and

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-026586