First slide

Pair of straight lines

Question

The equation $a x^{2} + 2 h x y + a y^{2} = 0$ represent a pair of coincident lines through the origin if

Moderate

A

$h = 2 a$
B

$2 h = a$
C

$h^{2} = a$
D

$h^{2} = a^{2}$

Solution

Lines are coincident if $(h)^{2} = a \cdot a$

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