A) 2
B) 1
C) 4
D) 3
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 \[\lambda \,\left( -\frac{1}{2} \right)+4\left( \frac{13}{8} \right)=6\] Þ \[\lambda =1\].You need to login to perform this action.
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