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Find the diameter of the circle …

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Find the diameter of the circle ?the equation of the circle is (x-x1)(x-x2)+(y-y1)(y-y2)

Posted by Ayushi Ayushi 6 years, 11 months ago

CBSE > Class 11 > Mathematics

3 answers

Ankit Singh 6 years, 11 months ago

Your welcome ayushi

Ayushi Ayushi 6 years, 11 months ago

Thanks.

Ankit Singh 6 years, 11 months ago

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 = 0 x² + 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....

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