Find the equation to the pair of straigh...

Find the equation to the pair of straight lines joining the origin to the intersections oi the straight line `y=mx + c` and the curve `x^2 + y^2=a^2` . Prove that they are at right angles if `2c^2=a^2(1+m^2)`.

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Find the equation to the pair of straight lines joining the origin to the intersections oi the straight line `y=mx + c` and the curve `x^2 + y^2=a^2` . Prove that they are at right angles if `2c^2=a^2(1+m^2)`.

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