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Auxiliary Circle of Ellipse

Find the equa...

Question

Find the equation of circles with radius 15 and touching the circle $x^{2} + y^{2} = 100$ at the point (6,-8).

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Solution

$(x - 15)^{2} + (y + 20)^{2}$ = $225$ touching externally and $(x + 3)^{2} + (y - 4)^{2}$ = $225$ touching internally

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Auxiliary Circle of Ellipse

Standard XII Mathematics

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