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 divid

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 only
B. II and III only
C. II only
D. III only

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - B
Take combination such as x=1,y=7,z=5
Now, check option
(ii) & (iii) statement are correct.

4 views Answered 2023-02-05 15:29

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