Q2. The value of k for which the lines 3x+4y=5,5x + 4y = 4 and kx + 4y = 6 meet at a point
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It is given that the lines 3x + 4y = 5, 5x + 4y = 4 andλx + 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 = 1Read more on Sarthaks.com - https://www.sarthaks.com/1154791/the-value-of-for-which-the-lines-3x-4y-5-5x-4y-4-and-x-4y-6-meet-at-a-point-is
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answer is 1
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