JEE Main 2022 Mathematics question

Mathematics Determinants JEE Main 2022

The ordered pair (a, b), for which the system of linear equations 3x − 2y + z = b, 5x − 8y + 9z = 3, 2x + y + az = −1 has no solution, is :

(1)(3, 1/3)
(2)(−3, 1/3)
(3)(−3, −1/3)Correct
(4)(3, −1/3)

Answer: (3)

Solution

The coefficient determinant |3 −2 1; 5 −8 9; 2 1 a| = −14a − 42 = 0 gives a = −3. Then 3(eq 1) − (eq 2) − 2(eq 3) gives 3b − 3 +

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-025347