Question

# For k=, the following system of equations has infinite solutions: 4x + 2y - (k + 2) = 0 and 2x + y - 3 = 0

A
2
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B
1
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C
4
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Solution

## The correct option is C 4Given two equations a1x+b1y=c1 and a2x+b2y=c2, the pair of equations will have infinite solutions if a1a2=b1b2=c1c2, Thus, for the given pair of equations to have infinte solutions, 42=21=−(k+2)−3 ⇒(k+2)3=2 ⇒k=4

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