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MioMath 2024 Paper 1 · Q10

Paper 1TrigonometryAlgebra

Given real numbers p,q,rp,q,r such that p+q+r=0p+q+r=0 and 0<r<p0<r<p, find the number of solutions of the equation psin⁡2θ+qsin⁡θ+r=0p\sin^2\theta+q\sin\theta+r=0 within the interval 0<θ<π0<\theta<\pi.

A0
B1
C2
D3
E4
F5

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