Where Quant meets Logic
its option 4) Tan^2 A
Sorry, it is incorrect
hello bro..m in 3rd yr (engg)..i hv read ur blog..it is very inspiring 4 me...can u plz suggest me sumways to improve in quant...
Practice any and every material u can get hold of. Follow forums. If you can come to testfunda.com, great!Good Luck
First time here. :)Feels good to get hold of at least one problem. :)my take:Option (1) Cos²A I assumed the triangle to be equilateral which really simplified things.And I got the ratio of areas as 1:4 which is Cos²60Hence, ratio =Cos²A Can we assume it so, where there are really no restrictions regarding the dimensions of the traingle?
Correct answer is Cos^2 A@ Anish, you made a big assumption, generally we can make such assumptions when there are no restrictions given..only in rare cases the answers differ
The trignometric representation of area of a triangle is 1/2*length of side 1*length of side 2* sine of angle formed by these 2 sides ...We can use this for the smaller triangle and proceed to get the answer without any assumptions
AD = AB cos AAE = AC cos aar(AED) = (1/2) AE X AD cos A (cos A)^2------- ------------------- = ar(ABC) (1/2) AB X AC cos A
AD = AB cos AAE = AC cos aar(AED)/ar(ABC) = [(1/2) AE X AD cos A ]/[(1/2) AB X AC cos A] = (cos A)^2
its option 4) Tan^2 A
ReplyDeleteSorry, it is incorrect
ReplyDeletehello bro..m in 3rd yr (engg)..
ReplyDeletei hv read ur blog..it is very inspiring 4 me...can u plz suggest me sumways to improve in quant...
Practice any and every material u can get hold of.
ReplyDeleteFollow forums. If you can come to testfunda.com, great!
Good Luck
First time here. :)
ReplyDeleteFeels good to get hold of at least one problem. :)
my take:
Option (1) Cos²A
I assumed the triangle to be equilateral which really simplified things.
And I got the ratio of areas as 1:4 which is Cos²60
Hence, ratio =Cos²A
Can we assume it so, where there are really no restrictions regarding the dimensions of the traingle?
Correct answer is Cos^2 A
ReplyDelete@ Anish, you made a big assumption,
generally we can make such assumptions when there are no restrictions given..
only in rare cases the answers differ
The trignometric representation of area of a triangle is 1/2*length of side 1*length of side 2* sine of angle formed by these 2 sides ...
ReplyDeleteWe can use this for the smaller triangle and proceed to get the answer without any assumptions
AD = AB cos A
ReplyDeleteAE = AC cos a
ar(AED) = (1/2) AE X AD cos A (cos A)^2
------- ------------------- =
ar(ABC) (1/2) AB X AC cos A
AD = AB cos A
ReplyDeleteAE = AC cos a
ar(AED)/ar(ABC)
= [(1/2) AE X AD cos A ]/[(1/2) AB X AC cos A]
= (cos A)^2