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10-03-2015
Mathematics

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Explain how you know the origin is the centre of the circle defined by the equation x2+y2=45.

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Panoyin Panoyin

10-03-2015

x² + y² = 45
x² - x² + y² = 45 - x²
y² = 45 - x²
y = 3√(5) - x
x² + (3√(5) - x)² = 45
x² + 45 - x² = 45
x² - x² + 45 = 45
0x² + 45 = 45
      -45 -45
      0x² = 0
   0 0
   x² = 0
      x = 0
(0)² + y² = 45
   0 + y² = 45
-0 -0
      y² = 45
   y = 3√5
(x y) = (0, 3√5)

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