1
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

In a $\triangle A B C$, if $\left(r_1-r_3\right)\left(r_1-r_2\right)-2 r_2 r_3=0$, then $a^2-b^2=$

A

$c^2+\frac{b^2}{4}$

B

$c^2$

C

$a b c$

D

$\frac{b+a}{c}$

2
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the median $A D$ of the $\triangle A B C$ is bisected at $E$ and $B E$ meets $A C$ in $E$, then $A F: A C=$

A

$1: 4$

B

$1: 3$

C

$1: 2$

D

$3: 4$

3
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

In $\triangle A B C$ if $\cos A \cos B+\sin A \sin B \sin C=1$, then $\sin A+\sin B+\sin C=$

A

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

B

$1+\sqrt{2}$

C

$\frac{2 \sqrt{3}-1}{2}$

D

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

4
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C$, if $a: b: c=4: 5: 6$, then $\frac{\cos A+3 \cos C}{\cos B}=$
A

1

B

4

C

2

D

3

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