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Hard Equation of a circle when the endpoints of a diameter are given MCQs for JEE

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Part of Co-ordinate Geometry in JEE Main Mathematics.

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Q1MathsUnit 10: Co-ordinate Geometry

Let

\mathbf{A}(\mathbf{1}, \mathbf{2})

and

\mathbf{B}(\mathbf{3}, \mathbf{4})

be two points. Let

\mathbf{C}(x, y)

be a point such that

(x-

(x-3)+(y-2)(y-4)=0 .

If area of

(\Delta A B C)=1,

then the maximum number of positions of

\mathbf{C}

\boldsymbol{x} \boldsymbol{y}

-plane is

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