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Question: Answered & Verified by Expert
The number of lines that can be drawn through the point $(4,-5)$ at a distance of 10 units from the point $(1,3)$ is
MathematicsStraight LinesAP EAMCETAP EAMCET 2021 (24 Aug Shift 2)
Options:
  • A $1$
  • B $0$
  • C $2$
  • D $\infty$
Solution:
1028 Upvotes Verified Answer
The correct answer is: $0$
The point are $(4,-5)$ and $(1,3)$.
Distance between two points are
$\sqrt{(4-1)^2+(-5-3)^2}$
$=\sqrt{9+64}=\sqrt{73}$
Distance between points are less than 10 .
$\therefore$ No line can be drawn through the point $(4,-5)$
at a distance of 10 units from the point $(1,3)$.

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