Arithmetic Progression
and are in an arithmetic progression . The line of passes through a fixed point . What is the coordinates of point ?
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1 solution
As a , b , c are in A.P. so, 2 b = a + c
Put c = 2 b − a in the given equation.
a x + b y + 2 b − a = 0
a ( x − 1 ) + b ( y + 2 ) = 0
A it passes through a fixed point so, x − 1 and y + 2 both will be zero.
So, the fixed point is 1 , − 2