First slide

Equation of line in Straight lines

Question

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

Moderate

Solution

$x + 2 y - 3 = 0, 2 x + 3 y - 4 = 0$
intersect at $(- 1, 2) \cdot 4 x + 5 y - 6 = 0$
passes through this point but $3 x + 4 y - 7 = 0$
does not pass through it, so only three of them are concurrent

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