1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C$, if $4 r_1=5 r_2=6 r_3$, then $\sin ^2 \frac{A}{2}+\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}=$
A
$\frac{19}{22}$
B
$\frac{25}{33}$
C
$\frac{74}{99}$
D
$\frac{28}{33}$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C, r_1 \cot \frac{A}{2}+r_2 \cot \frac{B}{2}+m_3 \cot \frac{C}{2}=$
A
$3 \Delta$
B
$3 S$
C
$\frac{s}{\Delta}$
D
$\Delta$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
In $\triangle A B C, b c-r_2 r_3=$
A
$\pi_1$
B
$\pi_2$
C
$r_1$
D
$a r_1$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The angle between the diagonals of the parallelogram whose adjacent sides are $2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}, \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$ is
A
$\cos ^{-1}\left(\frac{7}{\sqrt{69}}\right)$
B
$\cos ^{-1}\left(\frac{1}{7 \sqrt{69}}\right)$
C
$\cos ^{-1}\left(\frac{1}{7}\right)$
D
$\cos ^{-1}\left(\frac{31}{7 \sqrt{69}}\right)$
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