1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If in a $$\triangle A B C, a=2, b=3$$ and $$c=4$$, then $$\tan (A / 2)=$$

A
$$\sqrt{\frac{3}{15}}$$
B
$$\sqrt{\frac{4}{15}}$$
C
$$\sqrt{\frac{2}{15}}$$
D
$$\sqrt{\frac{1}{15}}$$
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If the angles of a $$\triangle A B C$$ are in the ratio $$1: 2: 3$$, then the corresponding sides are in the ratio

A
$$\sqrt{3}: 2: 1$$
B
$$1: \sqrt{3}: 2$$
C
$$\sqrt{3}: 1: 2$$
D
$$1: 2: \sqrt{3}$$
3
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

In a $$\triangle A B C, r_1 \cot \frac{A}{2}+r_2 \cot \frac{B}{2}+r_3 \cot \frac{C}{2}=$$

A
s
B
2s
C
3s
D
s/2
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

In $$\triangle A B C$$, medians $$A D$$ and $$B E$$ are drawn. If $$A D=4, \angle D A B=\frac{\pi}{6}$$ and $$\angle A B E=\frac{\pi}{3}$$, then the area of $$\triangle A B C$$ is

A
$$\frac{8}{3}$$ sq units
B
$$\frac{16}{3} \mathrm{sq}$$ units
C
$$\frac{32}{3 \sqrt{2}}$$ sq units
D
$$\frac{64}{3}$$ sq units
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