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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Observe the following statements

I.  In  Δ  ABC  bcos⁡2C2+ccos⁡2B2=s\mathrm{I}.\mathrm{\;In}\;\Delta \;ABC\;b{\cos ^2}\frac{C}{2} + c{\cos ^2}\frac{B}{2} = s

II.  Δ  ABC,cot⁡A2=b+c2⇒B=90∘\mathrm{II}.\;\Delta \;ABC,\cot \frac{A}{2} = \frac{{b + c}}{2} \Rightarrow B = 90^\circ

Which of the following is correct?
View answer and explanation
Correct option: B
I is true, II is false
Option B (I is true, II is false) is correct because the first statement is a known trigonometric identity, while the second statement's implication is not universally true.

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