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Find common tangent of the two curve y^(...

Find common tangent of the two curve `y^(2)=4x` and `x^(2)+y^(2)-6x=0` (a) `y=(x)/(3)+3` (b) `y=((x)/(sqrt(3))-sqrt(3))` (c) `y=(x)/(3)-3` (d) `y=((x)/(sqrt(3))+sqrt(3))`

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The correct Answer is:
(i) y=12x -16 or y =12x +16 (ii) x-2y +1 = 0 or 2y +x -1=0
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