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If the line y = mx + c is a common tangent to the hyperbola -x^2/100 - y^2/64 = 1 and the circle x^2 + y^2 = 36,

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in Mathematics by (50.4k points)

If the line y = mx + c is a common tangent to the hyperbola -x2/100 - y2/64 = 1 and the circle x2 + y2 = 36, then which one of the following is true? 

(1) 5m = 4 

(2) 4c2 = 369 

(3) c2 = 369 

(4) 8m + 5 = 0

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1 Answer

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The correct option is (2) 4c2 = 369.

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