If non-zero numbers a, b, c are in HP, then the straight line \[\frac{x}{a}+\frac{y}{b}+\frac{1}{c}=0\]always passes through a fixed point. That point is
AIEEE Solved Paper-2005
A)\[\left( 1,-\frac{1}{2} \right)\]
B) \[(1,-2)\]
C) \[(-1,-2)\]
D) \[(-1,2)\]
Correct Answer:
B
Solution :
Since, a, b, c are in HP. \[\therefore \] So, straight line always passes through a fixed point (1, - 2).