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Properties of Triangle question

2012 · Shift 2 · Q31
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  2. /JEE Advanced
  3. /Mathematics
  4. /Properties of Triangle
  5. /2012 · Shift 2 · Q31

Properties of Triangle question

2012 · Shift 2 · Q31

JEE AdvancedMathematicsProperties of TriangleMCQ+4 / −1
Let PQRPQRPQR be a triangle of area Δ\DeltaΔ with a=2a=2a=2, b=72b = {7 \over 2}b=27​ and c=52c = {5 \over 2}c=25​; where a,b,a, b,a,b, and ccc are the lengths of the sides of the triangle opposite to the angles at P.QP.QP.Q and RRR respectively. Then 2sin⁡P−sin⁡2P2sin⁡P+sin⁡2P{{2\sin P - \sin 2P} \over {2\sin P + \sin 2P}}2sinP+sin2P2sinP−sin2P​ equals.
  1. A
    34Δ{3 \over {4\Delta }}4Δ3​
  2. B
    454Δ{45 \over {4\Delta }}4Δ45​
  3. C
    (34Δ)2{\left( {{3 \over {4\Delta }}} \right)^2}(4Δ3​)2
  4. D
    (454Δ)2{\left( {{45 \over {4\Delta }}} \right)^2}(4Δ45​)2
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