First slide

Pair of straight lines

Question

The rectangle formed by the pair of lines $2 h x y + 2 g x + 2 f y + c = 0$ with the coordinate axes has the area equal to

Moderate

A

$\frac{| f g |}{h^{2}}$
B

$\frac{| g h |}{f^{2}}$
C

$\frac{| h f |}{g^{2}}$
D

$\frac{| f g |}{h}$

Solution

$Δ = 0$ and apply $\frac{| c |}{2 \sqrt{h^{2} - a b}}$

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