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Arman Ansary wrote:

Can we post pictures or else its hard to give geometry problems?

But this not of that category, so no difficulty.

Can we post pictures or else its hard to give geometry problems?

**Arman Ansary**- Replies: 2

This question was given, when I was preparing, by my teacher.

He gave 15 minutes.

Please try....

Let 'a' and 'b' be positive integers such that (ab + 1) divides (a^2 + b^2).

Then show that :

(a^2 + b^2) ÷ (ab + 1) is a square of an integer.

DON'T ATTEMPT IF YOU HAVE DONE BEFORE OR ELSE IT WOULD PROVE TOO EASY.

I could only figure the half way, my sir helped me out.

**Arman Ansary**- Replies: 3

This was in my book:

The remainder when x^45 is divided by x^2 - 1 is :-

a)2x

b)-x

c)0

d)x

e)None of these

THIS WAS UNDER THE LEVEL 1 QUESTION SECTION.

Try to answer and it would be good if you show the method.

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