Home
Class 10
MATHS
Prove that if xa n dy are odd positive i...

Prove that if `xa n dy` are odd positive integers, then `x^2+y^2` is even but not divisible by 4.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise NCERT Section (Exercise 1.1)|7 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise NCERT Section (Exercise 1.2)|15 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise OLYMPAID/HOTS CORNER|15 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD /HOTS CORNER |20 Videos

Similar Questions

Explore conceptually related problems

Prove that if x and y are odd positive integers, then x^(2)+y^(2) is even but not divisible by 4.

Prove that if x and y are both odd positive integers then x^(2) + y^(2) is even but not divisible by 4

Prove that quad 2^(n)>n for all positive integers n.

If n is an odd positive integer,show that (n^(2)-1) is divisible by 8.

If n is an odd positive integer, then a^(n)+b^(n) is divisible by

If n is an even positive integer, then a^(n)+b^(n) is divisible by

If n be a positive integer, then prove that 6^(2n)-35n-1 is divisible by 1225.