conic sections, Mathematics

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The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called

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If the roots of the equation (a-b) x 2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c. Ans:    (a-b) x 2 + (b-c) x+ (c - a) = 0 T.P 2a = b + c B 2 - 4AC = 0

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