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Circle through the origin and the common points of x²+y²=4 and x+y=1 is

Ax²+y²-4x-4y+8=0
Bx²+y²-4x-4y=0
Cx²+y²+4x+4y=0
Dx²+y²-2x-2y=0
Answer & Solution
Correct answer: B. x²+y²-4x-4y=0
Using S + λL = 0 and the origin gives -4 - λ = 0, so λ = -4 and the circle is x²+y²-4x-4y=0.
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