33asan hai ye waalaa.. :)
sides BC,CA ,AB of ΔABC are divided by points P,Q,R in ratios
BP/PC=λ,AR/RB=ν,CQ/QA=μ, than calculate area ΔPQR/area ΔABC
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16 Answers
33banae to do.. wo to asie hi kah diye q ka size dekhkar... :P
banate hain ab
1sorry im not able to write thats y.....gone wrong...and i think my brain is not working properly..........[2][2][2].......
33bahut bhayanak calculation aa raha.. hai.. conceptually tough nahi lag raha...
A (O)
B (b)
C (c)
AB =b
AC=c
BC =c-b
R (νb/ν+1)
P (λc+b)/(λ+1)
Q c/(μ+1)
ab PQxRQ nikal lo...
aage dekhte hain...
33λν/(ν+1)(λ+1)-λ/(λ+1)(μ+1)-ν/(ν+1)(μ+1)
simplify it...
33actually... 2 ar (ABC) =|bxc|
2ar(PQR)=|PQxRQ| = |(p-q)x(r-q)| ....p,q,r as in above in post
=|pxr-pxq-qxr| .... this has |bxc| common.. so get cancelled,......