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1. x 2 + y 2 = 185 , x − y = 3 এর একটি সমাধান হল:
- A. (7,4)
- B. (7,4)
- C. (7,4)
- D. (7,4)
Answer: Option D
Explanation:
x2 + y2 = 185
= > (x - y)2 + 2xy = 185
= > 2xy = 185 - 9
= > 2xy = 176
.·. 4xy = 352
আমরা জানি,
(x + y)2 = (x - y)2 + 4xy = 9 + 352 = 361
.·. x + y = 19
এবং x - y = 3
2x = 22
x = 11
y = 19 - 11
= 8
.·. x = 11, y = 8
.·. (x,y) = (11,8)
= > (x - y)2 + 2xy = 185
= > 2xy = 185 - 9
= > 2xy = 176
.·. 4xy = 352
আমরা জানি,
(x + y)2 = (x - y)2 + 4xy = 9 + 352 = 361
.·. x + y = 19
এবং x - y = 3
2x = 22
x = 11
y = 19 - 11
= 8
.·. x = 11, y = 8
.·. (x,y) = (11,8)
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