AP EAMCET · Maths · Straight Lines
If \(x+2 y-3=0,3 x+4 y-7=0,2 x+3 y-4\) \(=0\) and \(4 x+5 y-6=0\) are the equations of four lines, then
- A they are the sides of a square
- B they are all concurrent lines
- C they are the sides of a parallelogram
- D not all of them are concurrent
Answer & Solution
Correct Answer
(D) not all of them are concurrent
Step-by-step Solution
Detailed explanation
Given lines are \(\begin{array}{r} x+2 y-3=0 \quad \ldots (i) \\ 3 x+4 y-7=0 \quad \ldots (ii) \\ 2 x+3 y-4=0 \quad \ldots (iii) \\ 4 x+5 y-6=0 \quad \ldots (iv) \end{array}\) On solving Eqs. (i) and (ii), we get point of intersection \(\text{i.e. } \quad P=(1,1)\) Here,…
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