Circle 1 Question 15
15. If $A$ and $B$ are points in the plane such that $P A / P B=k$ (constant) for all $P$ on a given circle, then the value of $k$ cannot be equal to
(1982, 2M)
True/False
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Answer:
Correct Answer: 15. 2
Solution:
- Since, $P$ lies on circle and $A$ and $B$ are points in plane such that, $\frac{P A}{P B}=k$, then the locus of $P$ is perpendiular bisector of $A B$. Thus, the value of $k \neq 1$.
