AP EAMCET · Maths · Properties of Triangles
Match the items of List-I with those of List-II (Here \(\Delta\) denotes the area of \(\triangle A B C\).)
Then the correct match is
- A (A) - (vi), (B) - (i), (C) - (ii), (D) - (iii)
- B (A) - (ii), (B) - (i), (C) - (v), (D) - (iii)
- C (A) - (ii), (B) - (vi), (C) - (v), (D) - (i)
- D (A) - (vi), (B) - (ii), (C) - (i), (D) - (iv)
Answer & Solution
Correct Answer
(B) (A) - (ii), (B) - (i), (C) - (v), (D) - (iii)
Step-by-step Solution
Detailed explanation
\(\cot A=\frac{b^2+c^2-a^2}{4 \Delta}\) \(\cot B=\frac{c^2+a^2-b^2}{4 \Delta} \Rightarrow \cot C=\frac{a^2+b^2-c^2}{4 \Delta}\) \(\sum \cot A=\cos A+\cot B+\cot C=\frac{a^2+b^2+c^2}{4 \Delta}\) \(\cot \frac{A}{2}=\frac{s(s-a)}{\Delta}, \cot \frac{B}{2}=\frac{s(s-b)}{\Delta}\)…
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