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Given the four lines with the equations ...

Given the four lines with the equations
`x+2y-3=0`, `3x+4y-7=0`,
`2x+3y-4=0`, `4x+5y-6=0`, then

A

they are all concurrent

B

they are the sides of a quadrilateral

C

only three lines are concurrent

D

None of the above

Text Solution

AI Generated Solution

To determine whether the four given lines are concurrent, we need to find the intersection points of pairs of lines and check if they satisfy the equations of the other lines. Here’s a step-by-step solution: ### Step 1: Identify the equations of the lines The given equations of the lines are: 1. \( L_1: x + 2y - 3 = 0 \) 2. \( L_2: 3x + 4y - 7 = 0 \) 3. \( L_3: 2x + 3y - 4 = 0 \) 4. \( L_4: 4x + 5y - 6 = 0 \) ...
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