Question:medium
The number of points \( (a, b) \), where \( a \) and \( b \) are positive integers, lying on the hyperbola \( x^2 - y^2 = 512 \) is:
The number of points \( (a, b) \), where \( a \) and \( b \) are positive integers, lying on the hyperbola \( x^2 - y^2 = 512 \) is:
Show Hint
For equations of the form \(x^2-y^2=N\), convert into factor pairs using \((x-y)(x+y)=N\). Then count valid factor pairs satisfying parity conditions.
Updated On: May 6, 2026
- \( 3 \)
- \( 4 \)
- \( 5 \)
- \( 6 \)
- \( 7 \)
Show Solution
The Correct Option is B
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