Find the diameter of the circle ?the equation of the circle is (x-x1)(x-x2)+(y-y1)(y-y2)
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Your welcome ayushi
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We have to find the equation of circle whose diameter is join of the point (x₁,y₁) and (x₂, y₂) . Let A ≡ (x₁,y₁) and B ≡ (x₂,y₂)Then, equation of circle is given by (x – x₁)(x – x₂) +(y – y₁)(y – y₂) = 0 [ by formula ] x² – (x₁ + x₂)x + x₁x₂ + y² – (y₁ + y₂)y + y₁y₂ = 0x² + y² -(x₁ + x₂)x – (y₁ + y₂)y + x₁x₂ + y₁y₂ = 0 Hence, the equation of circle is x² + y² -(x₁ + x₂)x – (y₁ + y₂)y + x₁x₂ + y₁y₂ = 0 Hope this answer will help u….