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1
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let the angles $A, B, C$ of a $\triangle A B C$ be in arithmetic progression. If the exradii $r_1, r_2, r_3$ of $\triangle A B C$ satisfy the condition $r_3^2=r_1 r_2+r_2 r_3+r_3 r_1$, then $b=$

A

$\frac{2 a}{\sqrt{3}}$

B

$\sqrt{2} a$

C

$\sqrt{3} a$

D

$a$

2
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In a $\triangle A B C$, if $a=5, b=3, c=7$, then $\sqrt{\frac{\sin (A-B)}{\sin (A+B)}}=$
A
$\frac{4}{7}$
B
16
C
36
D
$\frac{4}{5}$
3
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In a $\triangle A B C$, if $r_{1}=6, r_{2}=9, r_{3}=18$, then $\cos A=$
A
$\frac{5}{13}$
B
$\frac{4}{5}$
C
$\frac{5}{7}$
D
$\frac{7}{25}$
4
TG EAPCET 2024 (Online) 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $A B C$ is an isosceles triangle with base $B C$, then $r_{1}=$
A
$R^{2} \cos ^{2} A$
B
$\frac{a^{2}}{2}$
C
$\frac{r}{R}$
D
$R^{2} \sin ^{2} A$
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