The equation x2 + y2 - 2x + 4y + 5 = 0 represents: - Vidyadip

MCQ

The equation x²+ y² - 2x + 4y + 5 = 0 represents:

A
A point
B
A pair of straight lines
C
A circle of non zero radius
D
None of these

✓

Answer

A point

Solution:

x² + y² - 2x + 4y + 5 = 0

(x - 1)²+ (y + 2)² -5 + 5 = 0

⇒ (x - 1)²+ (y + 2)² = 0

Since, radius is 0, its a point

Alternative method:

Here, a = b = 1

$\text{r}=\sqrt{1+4-5=0}$

a circle of radius 0. So, its a point.

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