Find the diameter of the circle x^2+y^2+2x-4y=4
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Answer:
6 unit
Step-by-step explanation:
=> x² + y² + 2x - 4y = 4
=> x² + y² + 2x - 4y + 1² + 2² = 4 + 1² + 2²
=> x² + 2x + 1² + y² - 4y + 2² = 4+1+4
=> (x + 1)² + (y - 2)² = 9
=> (x - (-1))² + (y - 2)² = 3²,
It says, radius of the circle is 3.
Therefore,
Diameter = 2*radius = 2*3 = 6 unit
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