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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Which of the following pieces of data does not uniquely determine acute angled Δ  ABC\Delta \;ABC(R=R =circumradius)?
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Correct option: D
a,sin⁡A,  Ra,\sin A,\;R
Option D (a,sin⁡A,  Ra,\sin A,\;R) is correct because knowing aa, sin⁡A\sin A, and RR only gives the ratio bsin⁡B\frac{b}{{\sin B}} or csin⁡(A+B)\frac{c}{{\sin (A + B)}}, and we cannot determine the values of bb, cc, sin⁡B\sin B, and sin⁡C\sin C separately.

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