@rkshtsurana said:Given that n is a natural number, when is n^4 + 4 prime?
When n=1?
@rkshtsurana said:Solve the factorial equation a!b! = a! + b! + c!
3!*3! = 3!+3!+4!
Took me a long time to solve..bolna mat wrong hai..:P
@krum
@soumitrabengeri said:3!*3! = 3!+3!+4!Took me a long time to solve..bolna mat wrong hai..
this is the only solution
official explanation nhi he mere pass
@rkshtsurana said:@krum this is the only solutionofficial explanation nhi he mere pass
There is no method to solve this na? It just clicked..although after a very long time..:(
Six straight lines are drawn in a plane with no two parallel and no three concurrent.The number of regions into which they divide the plane?
@aquarius24 said:Six straight lines are drawn in a plane with no two parallel and no three concurrent.The number of regions into which they divide the plane?
22?
@pankaj1988 said:sFind the minimum value of h^2+k^2. Where 3h-4k+45=0...approach without differentiation...
is it 3?????
No of regions = n(n+1)/2 + 1
Here n = 6
So, 22 regions
@aquarius24 said:Six straight lines are drawn in a plane with no two parallel and no three concurrent.The number of regions into which they divide the plane?
@pankaj1988 said:OA-81.......chk reply 2042 for soln
oh. sorry i made mistake..
it has to be 9^2 i took rt(9)..
it has to be 9^2 i took rt(9)..
@aquarius24 said:Six straight lines are drawn in a plane with no two parallel and no three concurrent.The number of regions into which they divide the plane?
(1+2+3+4+5+6)+1 =22
F(x)=|x – 2| + |2.5 – x| + |3.6 – x|, where x is a real number.
Find Min(f(x)).
Find Min(f(x)).
@pankaj1988 said:OA-81.......chk reply 2042 for soln
welll, for a method other than cauchy-schwartz
the min value is the square the foot of the perpendicular from the origin to the given line ..
the min value is the square the foot of the perpendicular from the origin to the given line ..
@Torque024 said:F(x)=|x – 2| + |2.5 – x| + |3.6 – x|, where x is a real number.Find Min(f(x)).
1.6 at x=2.5
@pankaj1988 said:OA-81.......chk reply 2042 for soln
h^2+k^2. Where 3h-4k+45=0
h^2+[(3h+45)/4]^2
=>h^2+1/16*(9h^2+45^2+270h)
upon diff.
=>2h+9/8h+270/16=0
=>h=-270/16*8/25=-27/5
=>k=(-81/5+45)/4=36/5
min=(-27/5)^2+(36/5)^2=81
ps: i don't know cauchy-sauchy so wanted to try :mg:
h^2+[(3h+45)/4]^2
=>h^2+1/16*(9h^2+45^2+270h)
upon diff.
=>2h+9/8h+270/16=0
=>h=-270/16*8/25=-27/5
=>k=(-81/5+45)/4=36/5
min=(-27/5)^2+(36/5)^2=81
ps: i don't know cauchy-sauchy so wanted to try :mg:
@Torque024 said:F(x)=|x – 2| + |2.5 – x| + |3.6 – x|, where x is a real number.Find Min(f(x)).
1.6?
Value at x=2.5