@ChirpiBird said:1/4 , 2/7, 13/50 , 2/9, noneplz post the method too.
I think the locus will be a semi circle....
@saurav205 said:I think the locus will be a semi circle....
somewhat right.. not exactly a semi circle.. but u r definitely close. :)
@ChirpiBird said:no, it wont form a triangle. i got a weird shape. i'll post OA later after 9. Let others try.
is it ( 1 - pi/8 )
=1-3.14/8
=1-0.39
=0.61
i m not sure.........
=1-3.14/8
=1-0.39
=0.61
i m not sure.........
@ChirpiBird said:A point P lies inside unit square ABCD such that angleAPB is acute while angleBPC is obtuse . Find the area of the locus of point P. P.S : aaj saare kai po che! dekhne gye hain kya??
2/9 locus will be circular:
no tickets for kai po che 
@DeAdLy said:2/9 locus will be circular:no tickets for kai po che
locus is not a circle. aur 2/9 nhi h :)
@Dexian said:is it ( 1 - pi/8 )=1-3.14/8=1-0.39=0.61i m not sure.........
no, .61 nhi h.. what locus did u get?
@ChirpiBird said:1/4 , 2/7, 13/50 , 2/9, noneplz post the method too.
Roughly around .2aa raha hai...
So going with 2/9...
@ChirpiBird said:A point P lies inside unit square ABCD such that angleAPB is acute while angleBPC is obtuse . Find the area of the locus of point P. P.S : aaj saare kai po che! dekhne gye hain kya??
quarter circle hai kya ??..
@ChirpiBird said:locus is not a circle. aur 2/9 nhi h no, .61 nhi h.. what locus did u get?
ans 2/7 hai kya?
1+ 2.2^1 + 3.2^2 + 4.2^3 + ... + 100.2^99 = ?
A) 100.2^100
B) 99.2^100 + 1
C) 99.2^99 + 99
D) 2^100
A) 100.2^100
B) 99.2^100 + 1
C) 99.2^99 + 99
D) 2^100
@ChirpiBird said:locus is not a circle. aur 2/9 nhi h
circle nai hai.. its kind of quarter of a circle.. not exactly though... 
post the solution
@mihir66 said:1+ 2.2^1 + 3.2^2 + 4.2^3 + ... + 100.2^99 = ?A) 100.2^100B) 99.2^100 + 1C) 99.2^99 + 99D) 2^100
@mailtoankit said:quarter circle hai kya ??..
@iLoveTorres said:ans 2/7 hai kya?
@saurav205 said:Roughly around .2aa raha hai...So going with 2/9...
Oa is 1/4. method nhi given h... :P
quarter circle se thoda bada h.. this is what i got. see attachment. sry for replying late.. was making the figure.
mera figure galat h toh do tell me.
quarter circle se thoda bada h.. this is what i got. see attachment. sry for replying late.. was making the figure.
mera figure galat h toh do tell me.
@mihir66 said:1+ 2.2^1 + 3.2^2 + 4.2^3 + ... + 100.2^99 = ?A) 100.2^100B) 99.2^100 + 1C) 99.2^99 + 99D) 2^100
Option b
@mihir66 said:1+ 2.2^1 + 3.2^2 + 4.2^3 + ... + 100.2^99 = ?A) 100.2^100B) 99.2^100 + 1C) 99.2^99 + 99D) 2^100
this is totally unconventional but works in exam like cat
look at the formation of each term, consider thee last term 100.2^99
consider n=100
so the last term can be written as n.2^(n-1)
the sum till first term is 1 by putting n=1
look at the formation of each term, consider thee last term 100.2^99
consider n=100
so the last term can be written as n.2^(n-1)
the sum till first term is 1 by putting n=1
now frame the options based on n=100
a)n.2^n ---> put n=1 you get 2
b)(n-1).2^n + 1 ---> put n=1 you get 1
c)(n-1).2^(n-1) + (n-1) ---> put n=1 you get 0
d)2^n --> put n=1 you get 2
hence only option B is in accordance.
a)n.2^n ---> put n=1 you get 2
b)(n-1).2^n + 1 ---> put n=1 you get 1
c)(n-1).2^(n-1) + (n-1) ---> put n=1 you get 0
d)2^n --> put n=1 you get 2
hence only option B is in accordance.
@mihir66 said:1+ 2.2^1 + 3.2^2 + 4.2^3 + ... + 100.2^99 = ?A) 100.2^100B) 99.2^100 + 1C) 99.2^99 + 99D) 2^100
B
@ChirpiBird said:Oa is 1/4. method nhi given h... quarter circle se thoda bada h.. this is what i got. see attachment. sry for replying late.. was making the figure. mera figure galat h toh do tell me.
this means they are considering it as a quarter circle then only can answer be 1/4... otherwise its less than 1/4
@ChirpiBird said:Oa is 1/4. method nhi given h... quarter circle se thoda bada h.. this is what i got. see attachment. sry for replying late.. was making the figuremera figure galat h toh do tell me.
the geometric figure i.e the locus is basically a circle with diameter 1 or only the blue colored part is to be considered?
Thanks...
@iLoveTorres 's is correct. It's a clever way to solve...
If their is anyone knows other way to solve, please post...
@mihir66 said:Thanks...@iLoveTorres 's is correct. It's a clever way to solve...If anyone knows other way to solve, please post...
@iLoveTorres said:the geometric figure i.e the locus is basically a circle with diameter 1 or only the blue colored part is to be considered?
blue colored part. wasn't that obvious? :D
@DeAdLy said:this means they are considering it as a quarter circle then only can answer be 1/4... otherwise its less than 1/4
the parts are shown to make calculations easy.
pi/4*(1/2)^2 + 1/4 - pi/4*(1/2)^2 = 1/4.
pi/4*(1/2)^2 + 1/4 - pi/4*(1/2)^2 = 1/4.