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BITSAT2014MathematicsCircleActual

The angle of intersection of the two circles x²+y²-2 x-2 y=0 and x²+y²=4, is

Options

  1. A30^
  2. B60^
  3. C90^
  4. D45^

Correct answer

D. 45^

Step-by-step solution

Here circles are array l x²+y²-2 x-2 y=0...(1) x²+y²=4...(2) Now, C ₁(1,1), r₁= 1²+1² = 2 C₂(0,0), r₂=2 array If is the angle of intersection then array l = r₁²+r₂²- (c₁ c₂ )² 2 r₁ r₂ = 2+4-( 2 )² 2 2.2 = 1 2 =45^ array

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