Home
Class 9
MATHS
Prove that if x is odd , then x^(2) is...

Prove that if x is odd , then ` x^(2)` is also odd.

Promotional Banner

Topper's Solved these Questions

  • PROOFS IN MATHEMATICS

    NCERT TAMIL|Exercise EXERCISE - 15.3|7 Videos

  • PROBABILITY

    NCERT TAMIL|Exercise DO THIS|2 Videos

  • QUADRILATERALS

    NCERT TAMIL|Exercise EXERCISE - 8.4|6 Videos

Similar Questions

Explore conceptually related problems

Check whether the following statement is true or false by proving its contrapositive. If x, y in Ζ such that xy is odd, then both x and y are odd.

Rewrite the following statement with “if-then” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd.

Check whether the following statement is true or not. Id x, y in Z are such that x and y are odd, then xy is odd.

Check whether the statement if x and y are odd integers, then xy is an odd integer is true or false by i. direct method ii. Contrapositive method. iii. Contradiction method.

Using the words ''necessary and sufficient'' rewrite the statement ''The integer n is odd if and only if n^(2) is odd''. Also check whether the statement is true.

Write the contrapositive and converse of the following statements. If x is a prime number, then x is odd.

Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function. Statement 2: If f^(prime)(x) is an even function, then f(x) is an odd function.

If n is odd then int_(0)^(pi//2)sin^(n)x dx is

Prove that the sum of two odd numbers is even.

Prove that x^3 + x^2 + x is factor of (x+1)^n - x^n -1 where n is odd integer greater than 3, but not a multiple of 3.