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JEE Math Practice Question

In a $$\Delta PQR,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} $$ If $$3{\mkern 1mu} \sin {\mkern 1mu} P + 4{\mkern 1mu} \cos {\mkern 1mu} Q = 6$$ and $$4\sin Q + 3\cos P = 1,$$ then the angle R is equal to :

  1. A.$${{5\pi } \over 6}$$
  2. B.$${{\pi } \over 6}$$
  3. C.$${{\pi } \over 4}$$
  4. D.$${{3\pi } \over 4}$$

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