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JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

If the sides of a triangle are in GP and the largest angle is twice the smallest angle then the common ratio, which is greater than 1, lies in the interval

Answer: (B)

Solution

Let , , with ; then is the smallest and the largest angle, , . Sine rule:

==.

So and . Hence

-r-1

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Question ID VK-108701