1
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
$\Delta$
2
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
$a r_1$
3
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
$\cos ^{-1}\left(\frac{31}{7 \sqrt{69}}\right)$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the points having the position vectors $-i+4 j-4 k_{\text {, }}$, $3 i+2 j-5 k,-3 i+8 j-5 k$ and $-3 i+2 j+\lambda k$ are coplanar, then $\lambda=$
A
1
B
2
C
-2
D
-3
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