Q. 255.0( 1 Vote )

# The value of λ for which the lines 3x + 4y = 5, 5x + 4y = 4 and λx + 4y = 6 meet at a point isA. 2B. 1C. 4D. 3

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. 3(- 24 + 16) – 4 (- 30 + 4λ) – 5 (20 – 4 λ) = 0

- 24 + 120 – 16 λ – 100 + 20 λ = 0

4 λ = 4

λ = 1

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