COMEDK · Maths · 12. Circle
The point \((5,-7)\) lies outside the circle
- A \(x^{2}+y^{2}-8 x=0\)
- B \(x^{2}+y^{2}-5 x+7 y=0\)
- C \(x^{2}+y^{2}-5 x+7 y-1=0\)
- D \(x^{2}+y^{2}-8 x+7 y-2=0\)
Answer & Solution
Correct Answer
(A) \(x^{2}+y^{2}-8 x=0\)
Step-by-step Solution
Detailed explanation
\(x^{2}+y^{2}-8 x=0\) \(\Rightarrow 5^{2}+(-7)^{2}-8 \times 5\) \(\Rightarrow 25+49-40=34\) \(\Rightarrow \quad 34>0\) Here, \(34>0\), so the points \((5,-7)\) lies outside the circle.
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