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JEE Math Practice Question

In a triangle ABC, if $$\cos \mathrm{A}+2 \cos \mathrm{B}+\cos C=2$$ and the lengths of the sides opposite to the angles A and C are 3 and 7 respectively, then $$\mathrm{\cos A-\cos C}$$ is equal to

  1. A.$$\frac{3}{7}$$
  2. B.$$\frac{9}{7}$$
  3. C.$$\frac{10}{7}$$
  4. D.$$\frac{5}{7}$$

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