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Prove that the points (9, 7), (11, 3) li...

Prove that the points (9, 7), (11, 3) lie on a circle with centre at origin. Find the equation of the circle.

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Let A and B be two points lie on the circle whose centre at (0, 0).
`therefore abs(bar(AC)) = sqrt(9^2+7^2) = sqrt(81+49) = sqrt(130)`
`abs(bar(BC)) = sqrt(11^2+3^2) = sqrt(121+9)=sqrt(130)`
`therefore` The points A and B lie on the circle whose centre at (0, 0) and radius is `sqrt(130)`
Eqn. of the circle is `x^2+y^2 = 130`.
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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
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  2. The line 3x + 4y + 30 = 0 is a tangent to the circle whose centre is a...

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