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Question: Answered & Verified by Expert
Point $(1,2)$ relative to the circle $x^{2}+y^{2}+4 x-2 y-4=0$ is a/ an
MathematicsCircleJEE Main
Options:
  • A exterior point
  • B interior point, but not centre
  • C boundary point
  • D centre
Solution:
1924 Upvotes Verified Answer
The correct answer is: exterior point
We put the co-ordinates of the given point in the given equation of circle $x^{2}+y^{2}+4 x-2 y-4=0$
$\operatorname{At}(1,2)$
$(1)^{2}+(2)^{2}+4(1)-2(2)-4$
$=1+4+4-4-4=1>0$
$\Rightarrow$ Point $(1,2)$ lies out side the circle i.e, an exterior point.

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