question_answer

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).