JEE Math Practice Question
The sides of a triangle are $$\sin \alpha ,\,\cos \alpha $$ and $$\sqrt {1 + \sin \alpha \cos \alpha } $$ for some $$0 < \alpha < {\pi \over 2}$$. Then the greatest angle of the triangle is :
- A.$${150^ \circ }$$
- B.$${90^ \circ }$$
- C.$${120^ \circ }$$
- D.$${60^ \circ }$$
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