The HCF of x and y is H. Consider the following statements in respect of the HCF of and : I. The HCF of p and q can be H. II. The HCF of p and q can be 2H. Which of the statements given above is/are correct?

Question

SquadPrep · Accepted Answer

Both I and II. Simplifying p and q, we get and . Let and where a and b are co-prime. Then and . Depending on whether (a+b) and (a-b) are both even or both odd, their HCF can be 2H or H respectively.

Answer

I only

Answer

II only

Answer

Neither I nor II

The HCF of x and y is H. Consider the following statements in respect of the HCF of p = \frac{x^3 + y^3}{x^2 - xy + y^2} and q = \frac{x^3 - y^3}{x^2 + xy + y^2}: I. The HCF of p and q can be H. II. The HCF of p and q can be 2H. Which of the statements given above is/are correct?

Explanation

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