A) \[(-1,2)\]
B) \[(-1,-2)\]
C) \[(1,-2)\]
D) \[\left( 1,-\frac{1}{2} \right)\]
Correct Answer: C
Solution :
Given, a, b, c are in HP. \[\frac{2}{b}=\frac{1}{a}+\frac{1}{c}\] \[\Rightarrow \] \[\frac{1}{a}-\frac{2}{b}+\frac{1}{c}=0\] \[\therefore \]The line \[\frac{1}{a}-\frac{2}{b}+\frac{1}{c}=0\]will pass through the point\[(1,-2)\].
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