AP EAMCET · Maths · Straight Lines
If the lines \(3 x+4 y-5=0,2 x+3 y-4=0\) and \(p x+4 y-6=0\) all meet at the same point, then \(p\) is equal to
- A -2
- B 0
- C 1
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
\(\begin{aligned} 3 x+4 y-5 & =0 \quad \ldots (i) \\ 2 x+3 y-4 & =0 \quad \ldots (ii) \\ \text {and } \quad p x+4 y-6 & =0 \quad \ldots (iii) \end{aligned}\) From Eqs. (i) and (ii), we get \(x=-1, y=2\) So, \(\quad-p+8-6=0 \Rightarrow p=2\)
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