Question:
The differential equation \( (3x + 4y + 1) dx + (4x + 5y + 1) dy = 0 \) represents a family of
The differential equation \( (3x + 4y + 1) dx + (4x + 5y + 1) dy = 0 \) represents a family of
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Differential equations involving quadratic forms in \( x \) and \( y \) can represent conic sections, such as hyperbolas.
Updated On: Jan 12, 2026
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The Correct Option is D
Solution and Explanation
By comparing the equation with the standard form of a hyperbola equation, we deduce that it represents a family of hyperbolas.
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