There are \( \mathrm{m} \) points on a straight line \( \mathrm{AB} \& \mathrm{n} \) points on t... VIDEO
There are \( \mathrm{m} \) points on a straight line \( \mathrm{AB} \& \mathrm{n} \) points on the line \( \mathrm{AC} \) none of them being the point \( \mathrm{A} \).
Triangles are formed with these points as vertices, when
(W)
(i) \( \mathrm{A} \) is excluded
(ii) \( \mathrm{A} \) is included. The ratio of number of triangles in the two cases is:
(A) \( \frac{\mathrm{m}+\mathrm{n}-2}{\mathrm{~m}+\mathrm{n}} \)
(B) \( \frac{\mathrm{m}+\mathrm{n}-2}{\mathrm{~m}+\mathrm{n}-1} \)
(C) \( \frac{m+n-2}{m+n+2} \)
(D) \( \frac{m(n-1)}{(m+1)(n+1)} \)
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live
Other Videos By PW Solutions 2022-12-01 There are 10 questions, each question is either True or False. Number of different sequences of ... 2022-12-01 \( \sin \theta \cos \left(90^{\circ}-\theta\right)+\cos \theta \sin \left(90^{\circ}-\theta\righ... 2022-12-01 The combinatorial coefficient \( C(n, r) \) is equal to
(A) number of possible subsets of \( r \... 2022-12-01 Lines \( y=x+i \& y=-x+j \) are drawn in \( x-y \) plane such that \( i \in\{1,2,3,4\} \& j \in\... 2022-12-01 рдпрджрд┐ \( \cos \theta=\frac{1}{\sqrt{2}} \), рддреЛ \( \left(\tan ^{2} \theta+1\right) \) рдХрд╛ рдорд╛рди рдЬреНрдЮрд╛рдд ... 2022-12-01 Number of rectangles in the grid shown which are not squares is (A) 160 (B) 162 (C) 170 2022-12-01 The number of ways of choosing a committee of 2 women \& 3 men from 5 women \& 6 men, if Mr. A r... 2022-12-01 Two classrooms A and B having capacity of 25 and \( (n-25) \) seats respectively. \( A_{n} \) de... 2022-12-01 рддреНрд░рд┐рдХреЛрдгрдорд┐рддреАрдп рд╕рд╛рд░рдгреА рдХрд╛ рдмрд┐рдирд╛ рдкреНрд░рдпреЛрдЧ рдХрд┐рдП, рд╕рд┐рджреНрдз рдХреАрдЬрд┐рдП \[ \sin ^{2} 32^{\circ}+\sin ^{2} 58^{\circ}=1 \] 2022-12-01 There are 10 straight lines in a plane, such that no 3 are concurrent and no 2 are parallel to e... 2022-12-01 There are \( \mathrm{m} \) points on a straight line \( \mathrm{AB} \& \mathrm{n} \) points on t... 2022-12-01 Error While Mathpix 2022-12-01 A committee of 5 is to be chosen from a group of 9 people. Number of ways in which it can be for... 2022-12-01 Error While Mathpix 2022-12-01 Consider a complex number \( w=\frac{z-i}{2 z+1} \), where \( z=x+ \) iy and \( x, y \in R \).
P... 2022-12-01 Consider a complex number \( w=\frac{z-i}{2 z+1} \), where \( z=x+ \) iy and \( x, y \in R \).
P... 2022-12-01 If \( (x+i y)^{1 / 3}=a+b i \), then prove that \( 4\left(a^{2}-b^{2}\right)=\frac{x}{a}+\frac{y... 2022-12-01 If \( \mathrm{a} \& \mathrm{~b} \) are real numbers between \( 0 \& 1 \) such that the points \(... 2022-12-01 For what real values of \( \mathrm{x} \& \mathrm{y} \) are the numbers \( -3+i \mathrm{x}^{2} \m... 2022-12-01 \( \mathrm{CO} \) рдордиреБрд╖реНрдп рдХреЗ рд▓рд┐рдП рдХрд┐рд╕ рдкреНрд░рдХрд╛рд░ рд╣рд╛рдирд┐рдХрд╛рд░рдХ рд╣реИ? 2022-12-01 The value of \( \sin \frac{\pi}{14} \sin \frac{3 \pi}{14} \sin \frac{5 \pi}{14} \) is :-
W
(A) \...