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

In a $$\triangle A B C, \frac{a}{b}=2+\sqrt{3}$$ and $$\angle C=60^{\circ}$$. Then, the measure of $$\angle A$$ is

A
$$95^{\circ}$$
B
$$65^{\circ}$$
C
$$105^{\circ}$$
D
$$115^{\circ}$$
2
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

If $$a=2, b=3, c=4$$ in a $$\triangle A B C$$, then $$\cos C=$$

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

In a $$\triangle A B C$$ $$(b+c) \cos A+(c+a) \cos B+(a+b) \cos C=$$

A
$$2 a b c$$
B
$$a b c$$
C
$$a+b+c$$
D
$$(a+b+c) / 2 a b c$$
4
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

Suppose $$\triangle A B C$$ is an isosceles triangle with $$\angle C=90^{\circ}, A=(2,3)$$ and $$B=(4,5)$$. Then, the centroid of the triangle is

A
$$\left(\frac{13}{8}, \frac{8}{3}\right)$$
B
$$\left(\frac{11}{3}, \frac{10}{3}\right)$$
C
$$\left(\frac{10}{3}, \frac{13}{3}\right)$$
D
$$\left(\frac{10}{3}, \frac{11}{3}\right)$$
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