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MHT CET2007MathematicsCircle

The area of the circle centred at (1,2) and passing through (4,6) , is

Options

  1. A5 sq unit
  2. B10 sq unit
  3. C25 sq unit
  4. DNone of these

Correct answer

C. 25 sq unit

Step-by-step solution

The equation of a circle centred at (1,2) and passing through (4,6) is array l (x-1)²+(y-2)²=(4-1)²+(6-2)² x²+y²-2 x-4 y+1+4=9+16 x²+y²-2 x-4 y-20=0 array Now, radius = (-1)²+(-2)²+20 = 1+4+20 =5 Area of circle = r²=25 sq unit

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