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JEE Main2012MathematicsProperties of TrianglesActual

In a PQR , if 3 P +4 Q =6 and 4 Q +3 P =1 , then the angle R is equal to

Options

  1. A5 6
  2. B6
  3. C4
  4. D3 4

Correct answer

B. 6

Step-by-step solution

3 P+4 Q=6 (1)4 Q+3 P=1 (2) From (1) and (2) P is obtuse. (3 P+4 Q)^2+(4 Q+3 P)^2=37 9+16+24( P Q+ P Q)=37 24 (P+Q)=12 (P+Q)= 1 2 P+Q= 5 6 R= 6

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