JEE Main 2013 Mathematics question

MathematicsMatricesJEE Main 2013

If the system of linear equations :

+ + = 6

+ + = 9

+ + = b

is consistent and has infinite number of solutions, then :

Answer: (4)

Solution

Infinitely many solutions need : $1(3a - 25) - 2(a - 10) + 3(5 - 6) = a - 8 = 0 ⇒

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Question ID VK-104063