JEE Advanced Mathematics question

MathematicsMatricesJEE Advanced

The number of values of for which the system of equations

has infinitely many solutions is

Answer: (B)

Solution

Two linear equations have infinitely many solutions iff they are proportional:

= = .

(For the second equation is and the first is : unique solution, so .)

- $ = ⇒ + 4k + 3 = 8k

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Question ID VK-110590