Which of the following pieces of data does not uniquely determine an acute angled ABC (R being the radius of the circumcircle)?

JEE Main Mathematics question

Mathematics Solution of Triangles JEE Main

Not in JEE syllabus

Which of the following pieces of data does not uniquely determine an acute angled ( being the radius of the circumcircle)?

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

(B) fixes the triangle by SSS; (A) gives and the ratio of two angles' sines, which determines and hence the triangle; (C) gives along with and , again enough. In (D)

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Question ID VK-008635