Search found 17 matches

by Mathlomaniac
Sat Apr 14, 2018 10:48 pm
Forum: Higher Secondary Level
Topic: I need help
Replies: 0
Views: 296

I need help

Could someone suggest me websites, forums, books and other materials for IMO preparation!
You may send a $Private-message$ to me.
Thanks in advance
by Mathlomaniac
Sat Apr 14, 2018 10:12 pm
Forum: Secondary Level
Topic: \tan law
Replies: 9
Views: 1832

Re: \tan law

Hello brother, could you send the working of your result. I mean how you got to such result.
by Mathlomaniac
Sun Apr 08, 2018 9:04 am
Forum: Higher Secondary Level
Topic: Resources
Replies: 1
Views: 338

Resources

Can someone provide me resources and links for $IMO$ preparation :?:
by Mathlomaniac
Sun Apr 08, 2018 8:44 am
Forum: Higher Secondary Level
Topic: A PROBLEM
Replies: 5
Views: 1162

Re: A PROBLEM

If \[x_{1}+x_{2}+x_{3}+x_{4}=0 \] and \[x_{1}^{2}+x_{2}^{2}+x_{3}^2+x_{4}^{2}=1 \] Then what is the biggest value of\[x_{1}^{3}+x_{2}^{3}+x_{3}^{3}+x_{4}^{^{3}}.\] Get all three equations in the form \[x_{1}+x_{2}+x_{3}=-(x_{4})\] Similarly next, Solve third equation by \[a^3+b^3+c^3-3abc\] And in ...
by Mathlomaniac
Sat Apr 07, 2018 12:44 pm
Forum: Secondary Level
Topic: Greatest Positive Integer $x$
Replies: 7
Views: 751

Re: Greatest Positive Integer $x$

samiul_samin wrote:
Thu Apr 05, 2018 7:26 pm
Mathlomaniac wrote:
Thu Mar 08, 2018 10:34 pm
Greatest possible integer value of X can be 88783 because 23 is repeated 88789 times in 2000!
Why are you saying it is repeated 88789 times?I know it is wrong but how did you get it?Can you explain?
I did a very bad mistake.
by Mathlomaniac
Mon Mar 12, 2018 10:34 pm
Forum: Higher Secondary Level
Topic: 3 problems of probability
Replies: 15
Views: 2531

Re: 3 problems of probability

Answer of first and second would be 11/12
by Mathlomaniac
Sun Mar 11, 2018 10:11 pm
Forum: Secondary Level
Topic: Triangle geometry
Replies: 5
Views: 678

Re: Triangle geometry

Using ceva's theorem answer came 0.
by Mathlomaniac
Sun Mar 11, 2018 10:07 pm
Forum: Higher Secondary Level
Topic: Quad in square
Replies: 4
Views: 1328

Re: Quad in square

We will use a simple lemma to prove it. Lemma : In any right angled triangle with the sides $a,b,c$ where $c$ is a hypotenuse.Then $\sqrt{2}c \geq a+b$.(Prove the lemma yourself by $A.M-G.M$.) Now applying it in $\Delta EBF$, we get, $\sqrt{2}EF \geq EB+BF$. Likewise,$\sqrt{2}FG \geq FC+CG$,$\sqrt{...
by Mathlomaniac
Sun Mar 11, 2018 9:51 pm
Forum: Higher Secondary Level
Topic: perimeter of an isosceles tri.
Replies: 1
Views: 750

Re: perimeter of an isosceles tri.

It would be an right angle isosceles triangle with BC =22
by Mathlomaniac
Sun Mar 11, 2018 12:53 pm
Forum: Higher Secondary Level
Topic: Find $\tan2\theta$
Replies: 4
Views: 1124

Re: Find $\tan2\theta$

0+0
Take theetha 0