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Question

The value of λ for which the lines 3x+4y=5, 5x+4y=4 and λx+4y=6 meet at a point is 



A

2

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B

1

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C

4

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D

3

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Solution

The correct option is D

1


It is given that the lines 3x+4y=5, 5x+4y=4 and λx+4y=6 meet at a point.

In other words, the given lines are concurrent.

∣ ∣345544λ46∣ ∣=0

   3(24+16)4(30+4λ)5(204λ)=0

   24+12016λ100+20λ=0

   4λ=4

   λ=1


Mathematics
RD Sharma
Standard XI

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