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JEE Math Practice Question

If the line y = mx + c is a common tangent to the hyperbola $${{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1$$ and the circle x2 + y2 = 36, then which one of the following is true?

  1. A.5m = 4
  2. B.8m + 5 = 0
  3. C.c2 = 369
  4. D.4c2 = 369

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