December 31, 2024
Explanation:
(a)
Comparing the given equation of circle with the general form 𝑥^2 + 𝑦^2 + 2𝑔𝑥 + 2𝑓𝑦 + 𝑐 = 0 we get,
𝑔 = −1, 𝑓 = −2 𝑎𝑛𝑑 𝑐 = 5
Radius of the given circle can be calculated using the formula:
Radius =√𝑔^2 + 𝑓^2 − 𝑐 = √(−1)^2 + (−2)^2 − 5 = 0
So the radius of given circle is 0.
We know circle with radius zero is called a point.
Thus, the equation represent a point. Ans.
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