SATHEE: Straight Line Question 55

Straight Line Question 55

Question: The value of $ \lambda $ for which the lines $ 3x+4y=5, $ $ 5x+4y=4 $ and $ \lambda x+4y=6 $ meet at a point is [Kerala (Engg.) 2002]

Options:

A)2

B)1

C)4

D)3

Show Answer

Answer:

Correct Answer: B

Solution:

Given lines are $ 3x+4y=5, $ $ 5x+4y=4, $ $ \lambda x+4y=6 $ . These lines meet at a point if the point of intersection of first two lines lies on the third line. From $ 3x+4y=5 $ and $ 5x+4y=4 $ We get $ x=\frac{-1}{2}, $ $ y=\frac{13}{8} $ This lies on $ \lambda x+4y=6, $ if $ \lambda ( -\frac{1}{2} )+4( \frac{13}{8} )=6 $
Þ $ \lambda =1 $ .

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Straight Line Question 55

Question: The value of $ \lambda $ for which the lines $ 3x+4y=5, $ $ 5x+4y=4 $ and $ \lambda x+4y=6 $ meet at a point is [Kerala (Engg.) 2002]

Options:

Answer:

Solution:

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