TS EAMCET · Maths · Basic of Mathematics
The number of positive integral solutions of \(\frac{1}{x}+\frac{1}{y}=\frac{1}{2025}\) is
- A 105
- B 45
- C 135
- D 25
Answer & Solution
Correct Answer
(B) 45
Step-by-step Solution
Detailed explanation
\( \frac{1}{x}+\frac{1}{y}=\frac{1}{2025} \Rightarrow xy - 2025x - 2025y = 0 \) \( (x - 2025)(y - 2025) = (2025)^2 \) \( 2025 = 3^4 \times 5^2 \) \( (2025)^2 = (3^4 \times 5^2)^2 = 3^8 \times 5^4 \) Since \( x, y \) are positive integers, \( x > 2025 \) and \( y > 2025 \). The…
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