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Question

The value of k for which the system, of equations has infinite number of solutions, is

2x + 3y = 5
4x + ky = 10

(a) 1
(b) 3
(c) 6
(d) 0

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Solution

The given system of equations are

For the equations to have infinite number of solutions,

Here,

Therefore

By cross multiplication of we get,

And

Therefore the value of k is 6

Hence, the correct choice is .


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