Question:
The equation of the chord of the hyperbola \( 25x^2 - 16y^2 = 400 \) that is bisected at point \( (5, 3) \) is:
The equation of the chord of the hyperbola \( 25x^2 - 16y^2 = 400 \) that is bisected at point \( (5, 3) \) is:
Show Hint
For the chord of a hyperbola, use the midpoint of the chord to derive the equation.
Updated On: Jan 12, 2026
- \( 135x - 48y = 481 \)
- \( 125x - 48y = 481 \)
- \( 125x - 4y = 48 \)
- None of these
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The Correct Option is B
Solution and Explanation
Using the midpoint formula for the chord bisected at \( (5, 3) \), we derive the equation \( 125x - 48y = 481 \).
Final Answer: \[ \boxed{125x - 48y = 481} \]
Final Answer: \[ \boxed{125x - 48y = 481} \]
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