Find the area of the triangle formed by a tangent to the hyperbola xy=1 and its asymptotes
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Since PQ=PR=42+62-25=33∠CPQ=∠CPR=αIn △PQC, tanα=64=32, and sin α=652cosα=PM4=452PM=1652 sinα=652=QM4QM=3252Area of △PQR=12QR.PM=122QM×PM=QM×PM=3252×1652 =51252
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