MCQ
The value of $\lambda $ for which the lines $3x + 4y = 5,$ $5x + 4y = 4$ and $\lambda x + 4y = 6$ meet at a point is
- A$2$
- ✓$1$
- C$4$
- D$3$
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 $\lambda \,\left( { - \frac{1}{2}} \right) + 4\left( {\frac{{13}}{8}} \right) = 6$
==> $\lambda = 1$.
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