Circle 1 Question 16

16. The line $x+3 y=0$ is a diameter of the circle $x^{2}+y^{2}-6 x+2 y=0$.

(1989, 1M)

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Answer:

Correct Answer: 16. True

Solution:

  1. Since, centre of circle is $(3,-1)$ which lies on $x+3 y=0$

$\Rightarrow \quad x+3 y=0$ is diameter of $x^{2}+y^{2}-6 x+2 y=0$

Hence, given statement is true.



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