Let x,y,z be positive integers such that HCF(x,y,z)=1 and `x^(2)+y^(2)=2z^(2)`. Which of the following statements are true ? I. 4 divides x or 4 divides y. II. 3 divides x+y or 3 divides x-y III. 5 divides `z(x^(2-y^(2)))`A. I and II onlyB. II and III onlyC. II onlyD. III only

Let x,y,z be positive integers such that HCF(x,y,z)=1 and `x^(2)+y^(2)

1.	Let x,y,z be positive integers such that HCF(x,y,z)=1 and `x^(2)+y^(2)=2z^(2)`. Which of the following statements are true ? I. 4 divides x or 4 divides y. II. 3 divides x+y or 3 divides x-y III. 5 divides `z(x^(2-y^(2)))`A. I and II onlyB. II and III onlyC. II onlyD. III only
Answer» Correct Answer - B Take combination such as x=1,y=7,z=5 Now, check option (ii) & (iii) statement are correct.

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Let x,y,z be positive integers such that HCF(x,y,z)=1 and `x^(2)+y^(2)=2z^(2)`. Which of the following statements are true ? I. 4 divides x or 4 divides y. II. 3 divides x+y or 3 divides x-y III. 5 divides `z(x^(2-y^(2)))`A. I and II onlyB. II and III onlyC. II onlyD. III only

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