AP EAMCET · Maths · Straight Lines
If the lines \(x+2 a y+a=0, x+3 b y+b=0\), \(x+4 c y+c=0\) are concurrent, then \(a, b\) and \(c\) are in
- A arithmetic progression
- B geometric progression
- C harmonic progression
- D arithmetico-geometric progression
Answer & Solution
Correct Answer
(C) harmonic progression
Step-by-step Solution
Detailed explanation
Let these three lines be \(L_1, L_2\) and \(L_3\) \(\begin{aligned} & L_1=x+2 a y+a=0 \\ & L_2=x+3 b y+b=0 \\ & L_3=x+2 c y+c=0 \end{aligned}\) If \(L_1, L_2\) and \(L_3\) are concurrent, then…
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