First slide

Pair of straight lines

Question

The intercept made by the pair of lines $6 x^{2} - 7 x y - 3 y^{2} - 24 x - 3 y + 18 = 0$ on the X-axis is

Moderate

Solution

$a = 6, 2 h = - 7, b = - 3$
$2 g = - 24, 2 f = - 3, c = 18$
$\frac{2 \sqrt{g^{2} - a c}}{| a |} = 2$

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