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Straight Line — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStraight Line2 Marks
MCQ
The value of $\lambda$ for which the lines 3x + 4y = 5, 5x + 4y = 4 and $\lambda x+4 y=6$ meet at a point is
  • A
    2
  • ✓
    1
  • C
    4
  • D
    3
✓

Answer

Correct option: B.
1
(B)
Given lines are concurrent.
∴$\begin{array}{l}\left|\begin{array}{lll}3 & 4 & -5 \\5 & 4 & -4 \\\lambda & 4 & -6\end{array}\right| \\\Rightarrow 3(-24+16)-4(-30+4 \lambda)-5(20-4 \lambda)=0 \\\Rightarrow \lambda=1\end{array}$

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