If \( R, r \) denote respectively the radius of the
circumcircle and incircle of a triangle \( A....
If \( R, r \) denote respectively the radius of the
P
circumcircle and incircle of a triangle \( A B C \), then
\begin{tabular}{|c|c|c|c|}
\hline & Column I & & Column II \\
\hline (A) & \( a \cos A+b \cos B+c \cos C \) & (p) & \( 2(R+r) \) \\
\hline (B) & \( a \cot A+b \cot B+c \cot C \) & (q) & \( R \) \\
\hline (C) & \( 4 R \sin (A / 2) \sin (B / 2) \sin (C / 2) \) & (r) & \begin{tabular}{c}
\( 4 R \sin A \sin \) \\
\( B \sin C \)
\end{tabular} \\
\hline (D) & \( \frac{a}{\sin A}+\frac{b}{\sin B}+\frac{c}{\sin C} \) & (s) & \( 6 R \) \\
\hline
\end{tabular}
\begin{tabular}{lllll}
(1) & \( \mathrm{p} \) & \( \mathrm{q} \) & \( \mathrm{r} \) & \( \mathrm{s} \) \\
(2) & \( \mathrm{r} \) & \( \mathrm{p} \) & \( \mathrm{q} \) & \( \mathrm{s} \) \\
(3) & \( \mathrm{p} \) & \( \mathrm{s} \) & \( \mathrm{r} \) & \( \mathrm{s} \) \\
(4) & \( \mathrm{q} \) & \( \mathrm{r} \) & \( \mathrm{p} \) & \( \mathrm{s} \)
\end{tabular}
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-23 | In triangle \( A B C ; A=\pi / 3, b=50, c=30, A D \) is a
median through \( A \), then \( A D^{2.... |
| 2024-01-23 | \( \mathrm{ABC} \) is a triangle in which \( a=6, b=3 \) and \( \cos (A-B)= \)
\( 4 / 5 . A D \).... |
| 2024-01-23 | The angles of a triangle are in the ratio \( 2: 3: 7 \)
\begin{tabular}{|l|l|l|l|}
\hline & Colu.... |
| 2024-01-23 | In a triangle \( A B C, a=7, b=8, c=9, B D \) is the
median and \( B E \) the altitude form the .... |
| 2024-01-23 | In a triangle \( A B C, B=30^{\circ}, C=150^{\circ}, b=50 \sqrt{3} . a_{1} \),
\( a_{2} \) are t.... |
| 2024-01-23 | In a triangle \( A B C \), if \( r_{1}=2 r_{2}=3 r_{3} \) then
\( [100-(4 a / 5 b)]^{2} \) is eq.... |
| 2024-01-23 | In a triangle \( A B C \), internal angle bisector of \( \angle A \)
meets side \( B C \) in \( .... |
| 2024-01-23 | In a triangle \( A B C, \sin A \cos B=1 / 4,3 \tan A=\tan \)
\( B \).
\begin{tabular}{|l|l|l|l|}.... |
| 2024-01-23 | In a triangle \( A B C \), if the sides \( a, b, c \) are roots of
\( x^{3}-11 x^{2}+38 x-40=0 \.... |
| 2024-01-23 | \( A L, B M \) and \( C N \) are diameter of the circumcircle of a
triangle \( A B C . \Delta_{1.... |
| 2024-01-23 | If \( R, r \) denote respectively the radius of the
circumcircle and incircle of a triangle \( A.... |
| 2024-01-23 | \( A L, B M \) and \( C N \) are diameter of the circumcircle of a
triangle \( A B C . \Delta_{1.... |
| 2024-01-23 | \( \mathrm{ABC} \) is a triangle in which \( a=6, b=3 \) and \( \cos (A-B)= \)
\( 4 / 5 . A D \).... |
| 2024-01-23 | In a \( \triangle A B C \), medians \( A D \) and \( B E \) are drawn. If
\( A D=4, \angle D A B.... |
| 2024-01-23 | In a triangle \( A B C \), which of the following
quantities denote the area of the triangle?.... |
| 2024-01-23 | In a triangle \( A B C \)
\begin{tabular}{|c|c|c|c|c|}
\hline & \multicolumn{2}{|c|}{ Column I }.... |
| 2024-01-23 | \( \mathrm{ABC} \) is a triangle in which \( a=6, b=3 \) and \( \cos (A-B)= \)
\( 4 / 5 . A D \).... |
| 2024-01-23 | There exists a triangle \( A B C \) satisfying.... |
| 2024-01-23 | If \( H \) is the orthocentre of triangle \( A B C \), then \( A H \) is
equal to.... |
| 2024-01-23 | If in a triangle \( A B C, \Delta=a^{2}-(b-c)^{2} \), then \( \tan A \) is equal to.... |
| 2024-01-23 | In a triangle \( A B C \), if \( A-B=120^{\circ} \) and \( R=8 r \), then the value of \( \cos \.... |
0