In a \( \quad \triangle \mathrm{ABC} \) if \( 2 s=a+b+c \quad \) and \( (s-b)(s-c)=x \sin ^{2} \....
In a \( \quad \triangle \mathrm{ABC} \) if \( 2 s=a+b+c \quad \) and \( (s-b)(s-c)=x \sin ^{2} \frac{A}{2} \), then \( x= \)
(1) \( \mathrm{bc} \)
(2) \( \mathrm{ca} \)
(3) \( \mathrm{ab} \)
(4) \( a b c \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-23 | In a triangle \( A B C \), if the median and altitude from
\( A \) trisect angle \( A \), then \.... |
2024-01-23 | In a \( \triangle A B C \), the sides are in the ratio \( 4: 5: 6 \). The ratio of the circum-ra.... |
2024-01-23 | If \( N=\sqrt{9 \cos ^{2} \theta+16 \sin ^{2} \theta}+\sqrt{16 \cos ^{2} \theta+9 \sin ^{2} \the.... |
2024-01-23 | If \( (a-b)(s-c)=(b-c)(s-a) \), then \( r_{1}, r_{2}, r_{3} \) are in.... |
2024-01-23 | If \( \frac{r}{r_{1}}=\frac{r_{2}}{r_{3}} \), then.... |
2024-01-23 | If a triangle \( A B C, \sum \frac{\sin ^{2} A+\sin A+1}{\sin A} \) is always
greater than.... |
2024-01-23 | In a triangle \( \mathrm{BAC} \) altitude \( \mathrm{AD}, \angle \mathrm{BAC}=45^{\circ}, \mathr.... |
2024-01-23 | If the lengths of the sides of a triangle are in A.P.
and the greatest angle is double the small.... |
2024-01-23 | In triangle \( \mathrm{ABC}, \cot \frac{A}{2}=\frac{b+c}{a} \), then triangle \( \mathrm{ABC} \).... |
2024-01-23 | If \( \alpha=\sin \theta|\sin \theta| \) and \( \beta=\cos \theta|\cos \theta| \quad \) where
\(.... |
2024-01-23 | In a \( \quad \triangle \mathrm{ABC} \) if \( 2 s=a+b+c \quad \) and \( (s-b)(s-c)=x \sin ^{2} \.... |
2024-01-23 | In a triangle \( A B C, \angle A=60^{\circ} \) and \( b: c=(\sqrt{3}+1): 2 \)
then \( (\angle B-.... |
2024-01-23 | In any \( \triangle A B C \), if a \( \cos B=b \cos A \), then the
triangle is.... |
2024-01-23 | The sides \( a, b, c \) (taken in that order) of triangle \( A B C \) are in A.P.
If \( \cos \al.... |
2024-01-23 | If in a \( \triangle A B C, a \cos ^{2}\left(\frac{C}{2}\right)+\cos ^{2}\left(\frac{A}{2}\right.... |
2024-01-23 | In \( \triangle A B C \), if \( \operatorname{ar}(\triangle A B C)=8 \). Then, \( a^{2} \sin (2 .... |
2024-01-23 | If \( c^{2}=a^{2}+b^{2}, 2 s=a+b+c \) then
\( 4 s(s-a)(s-b)(s-c) \).... |
2024-01-23 | A man standing on a level plane observes the elevation of the top of a pole to be \( \theta \). .... |
2024-01-23 | The angles A, B and C of a triangle ABC are in A.P. and \( a: b=1: \sqrt{3} \). If \( c=4 \mathr.... |
2024-01-23 | In \( \triangle \mathrm{ABC} \), if \( \mathrm{b}=(\sqrt{3}-1) \mathrm{a} \) and \( \angle C=30^.... |
2024-01-23 | The angles A, B and C of a triangle ABC are in A.P. and \( a: b=1: \sqrt{3} \). If \( c=4 \mathr.... |