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[" Question "66],[" The straight lines r...

[" Question "66],[" The straight lines represented by "(y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(2)=a^(2)(1+n^(2))" form a "]

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Prove that the straight lines represented by (y-mx)^2=a^2 (1+m^2) and (y-nx)^2=a^2(1+n^2) form rhombus.

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Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

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