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Official 2018 Paper 2 · Q14

Paper 2Geometry

In the triangle PQRPQR, PR=2PR=2, QR=pQR=p and ∠RPQ=30∘\angle RPQ=30^\circ.

What is the set of all the values of pp for which this information uniquely determines the length of PQPQ?

Ap=1p=1
Bp=3p=\sqrt3
C1≤p<21\leq p<2
D3≤p<2\sqrt3\leq p<2
Ep=1p=1 or p≥2p\geq2
Fp=3p=\sqrt3 or p≥2p\geq2
Gp<2p<2
Hp≥2p\geq2

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