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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Mathematics
Chapter
Properties of Triangles

JEE Main 2004 · Mathematics · Properties of Triangles

The sides of a triangle are α, α and 1+ α α for some 0 < α <...

The sides of a triangle are sin⁡α,cos⁡α\sin \alpha, \cos \alpha and 1+sin⁡αcos⁡α\sqrt{1+\sin \alpha \cos \alpha} for some 0<α<π20 < \alpha < \frac{\pi}{2}. Then the greatest angle of the triangle is

Options

  1. A60∘60^{\circ}
  2. B90∘90^{\circ}
  3. C120∘120^{\circ}
  4. D150∘150^{\circ}

Correct answer

C. 120∘120^{\circ}

Step-by-step solution

Greatest side is 1+sin⁡αcos⁡α\sqrt{1+\sin \alpha \cos \alpha}, by applying cos rule we get greatest angle =120∘=120^{\circ}.
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