Question 18

The equation $$x^{2} + y^{2} − 2x − 4y + 5 = 0$$ represents

Solution

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$$x^{2} + y^{2} − 2x − 4y + 5 = 0$$

This can be rewritten as $$x^2+y^2−2x+1−4y+4=0\$$

$$\left(x-1\right)^2+\left(y−2\right)^2=0$$

This is a circle with radius 0. So, this is a point.

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