@Logrhythm i don't knw answer for this question :(
Simplify 1/(a+1) -(a-1)/(a+1)^2+ (a-1)^2/(a+1)^3- ---- to infinity .
where a is a positive integer.
@MBAVichar said:Why have u taken 9C2.... its not a combination question... arrangement matters... 1585 is different no from 1558..... it shud be 9P2..... then same logic as your... we get 648..
i am arranging them later
that is why i did 3!/2!
@Gsathe89 said:what is the minimum value |x-1|+|x-2|+|x-3|........+|x-10|??
@Subhashdec2 @grkkrg bhai log iska answer kya hoga ??
@Gsathe89 said:@Logrhythm i don't knw answer for this question
@Gsathe89 said:@Logrhythm can you plz explain in detail
if you plot the graph you'll see that the least value always occurs at 5 (or at the mid value root)
take a smaller case --> |x-1|+|x-2|+|x-3|
the min value would always occur at 2
whereas, in case of even number of roots the min value occurs at any of the mid values, for eg see the following graph for |x-1|+|x-2|+|x-3|+|x-4|
so this is where it comes from, i hope it is clear now...
PS - Graph courtesy: wolframalpha
@Asfakul said:Simplify 1/(a+1) -(a-1)/(a+1)^2+ (a-1)^2/(a+1)^3- ---- to infinity .where a is a positive integer.
1/2??
@Asfakul said:Simplify 1/(a+1) -(a-1)/(a+1)^2+ (a-1)^2/(a+1)^3- ---- to infinity .where a is a positive integer.
S=1/(a+1) -(a-1)/(a+1)^2+ (a-1)^2/(a+1)^3- ---- to infinity .
(a-1)S/(a+1) =(a-1)/(a+1) -(a-1)^2/(a+1)^3+(a-1)^3/(a+1)^4+....
S[1+ (a-1)/(a+1) ]=1/(a+1)
S=1/2a??
@Logrhythm said:min value will always occur at 10/2so 2(1+2+3+4) = 20 ??
willbe 25 right ??.at x=5??
@Asfakul said:@Subhashdec2@grkkrg bhai log iska answer kya hoga ??
bhai at x=5
it is more like 10 people standing at
1,0
2,0
3,0
...
10,0
what will be the minimum total distance travelled by all of them to meet
it will come out at x=5
25
@Logrhythm that means x should be at 5 so that sum of its distances from other points would be minimum??
@Asfakul said:@Subhashdec2@grkkrg bhai log iska answer kya hoga ??
x = 5.5
So 4.5 + 3.5 + 2.5 + 1.5 + 0.5 + 1.5 + 2.5 + 3.5 + 4.5 = 24.5?
So 4.5 + 3.5 + 2.5 + 1.5 + 0.5 + 1.5 + 2.5 + 3.5 + 4.5 = 24.5?
@grkkrg said:x = 5.5So 4.5 + 3.5 + 2.5 + 1.5 + 0.5 + 1.5 + 2.5 + 3.5 + 4.5 = 24.5?
this seems correct!
@Gsathe89 said:@Logrhythm that means x should be at 5 so that sum of its distances from other points would be minimum??
yes, if that is how you can best remember it
and as @Subhashdec2 bhai said...10 ppl stand in a line, all want to meet so that they travel the least distance...so ofcrs they wld meet where person 5 is standing
person ke mazze ho gaye, chalna hi nahi pada 
@Logrhythm said:yes, if that is how you can best remember itand as @Subhashdec2 bhai said...10 ppl stand in a line, all want to meet so that they travel the least distance...so ofcrs they wld meet where person 5 is standing person ke mazze ho gaye, chalna hi nahi pada
i guess @grkkrg has got it right!
Which of the following options represent a condition for the equation x^2+ax+b=0 to have exactly one common root , Given that the roots of both the equation are real
1. a-b = 1
2. b-a = 1
3 1+a+b = 0
4. Both 1and 2
1. a-b = 1
2. b-a = 1
3 1+a+b = 0
4. Both 1and 2