Paragraph for Question Let \( \angle A=23^{\circ}, \angle B=75^{\circ} \) and \( \angle C=82^{\c...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=a3k35EsL9nQ


Duration: 4:49
0 views
0

Paragraph for Question
Let \( \angle A=23^{\circ}, \angle B=75^{\circ} \) and \( \angle C=82^{\circ} \) be the angles of \( \triangle A B C \).
The incircle of \( \triangle A B C \) touches the sides \( B C, C A, A B \) at points \( D, E, F \) respectively. Let \( r^{\prime}, r_{1}^{\prime} \) respectively be the inradius, exradius opposite to vertex \( D \) of \( \triangle D E F \) and \( r \) be the inradius of \( \triangle A B C \), then \( \frac{r_{1}^{\prime}}{r}= \)
(a) \( \sin \frac{A}{2}+\sin \frac{B}{2}+\sin \frac{C}{2}-1 \)
(b) \( 1-\sin \frac{A}{2}+\sin \frac{B}{2}+\sin \frac{C}{2} \)
(c) \( \cos \frac{A}{2}+\cos \frac{B}{2}+\cos \frac{C}{2}-1 \)
(d) \( 1-\cos \frac{A}{2}+\cos \frac{B}{2}+\cos \frac{C}{2} \)
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-28The value of \( \sin ^{-1}\left(\cos \left(\cos ^{-1}(\cos x)+\sin ^{-1}(\sin x)\right)\right) \...
2022-10-28The value of the expression \( \sin ^{-1}\left(\sin \frac{22 \pi}{7}\right) \) \( \cos ^{-1}\lef...
2022-10-28The number of solution of equation \( \sin ^{-1} x+n \sin ^{-1}(1-x) \) \( =\frac{m \pi}{2} \), ...
2022-10-28If \( \left|\cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right)\right|\frac{\pi}{3} \), then (1) \( x...
2022-10-28The number of solutions of the system of equations : \[ \begin{aligned} 2 \sin ^{2} x+\sin ^{2} ...
2022-10-28In \( \triangle A B C \), if \( \angle C=90^{\circ} \), then \( \frac{a+c}{b}+\frac{b+c}{a} \) i...
2022-10-28Find the number of solutins of the equations \[ (\sin x-1)^{3}+(\cos x-1)^{3}+(\sin x)^{3}=(2 \s...
2022-10-28In a \( \triangle A B C \), if \( a^{2} \sin B=b^{2}+c^{2} \), then: (a) \( \angle A \) is obtus...
2022-10-28Paragraph for Question Let \( A B C \) be a triangle inscribed in a circle and let \( l_{a}=\fra...
2022-10-28Let \( \alpha, \beta \) are two real roots of equation \( x^{2}+p x+q=0, p, q \in R, q \neq 0 \)...
2022-10-28Paragraph for Question Let \( \angle A=23^{\circ}, \angle B=75^{\circ} \) and \( \angle C=82^{\c...
2022-10-28The range of value's of \( k \) for which the equation \( 2 \cos ^{4} x-\sin ^{4} x+k=0 \) has a...
2022-10-28If \( \{x\} \) denotes the fractional part of \( x \), then \( I=\int_{0}^{100}\{\sqrt{x}\} d x ...
2022-10-28For a positive integer \( n \), let \( I_{n}=\int_{-\pi}^{\pi}\left(\frac{\pi}{2}-|x|\right) \co...
2022-10-28The area defined by \( |y| \leq e^{-|x|}-\frac{1}{2} \) in cartesian co-ordinate system, is : (a...
2022-10-28Let \( H \) be the orthocenter of triangle \( A B C \), then angle subtended by side \( B C \) a...
2022-10-28The solution of differential equation \( \frac{d^{2} y}{d x^{2}}=\frac{d y}{d x}, y(0)=3 \) and ...
2022-10-28Let \( I=\int_{0}^{\pi} x^{6}(\pi-x)^{8} d x \), then \( \frac{\pi^{15}}{\left({ }^{15} C_{9}\ri...
2022-10-28let \( f(x)=\int_{0}^{x} e^{x-y} f^{\prime}(y) d y-\left(x^{2}-x+1\right) e^{x} \) Find the numb...
2022-10-28If \( \int_{a}^{b}|\sin x| d x=8 \) and \( \int_{0}^{a+b}|\cos x| d x=9 \) then the value of \( ...
2022-10-28If \( \int \frac{d x}{\cos ^{3} x-\sin ^{3} x}=A \tan ^{-1}(f(x))+B \ln \left|\frac{\sqrt{2}+f(x...


Tags:
pw