The circumcircle of the triangle formed by the lines and
passes through the origin if
where
1
2
3
4
Equation of conic is
where are constants.
Equation (1) represents a circle if the coefficient of are equal and the coefficient of x y is zero such that
or
...............(2)
and
...............(3)
Solving (2) and (3) by cross multiplication rule, we get
.......(4)
and given, (1) passes through the origin then ..........(5)
from (4) and (5) we get
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