If the system of equations 2x−3y+4=0, 5x−2y−1=0and 21x−8y+λ=0 is consistent. Then λ is

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-1

-5

answer is D.

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Detailed Solution

Given system is consistentGiven equations have a solution2x−3y+4=0→1, 5x−2y−1=0→(2)Solve (1) and (2), x=1, y=221x−8y+λ=0 ⇒21−16+λ=0λ=−5

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