Form the Differential Equation of the Family of Hyperbolas Having Foci on X-axis and Centre at Origin. - CBSE (Science) Class 12 - Mathematics
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Form the differential equation of the family of hyperbolas having foci on
x-axis and centre at origin.
The equation of the family of hyperbolas with the centre at origin and foci along the
Differentiating both sides of equation (1) with respect to
x, we get:
This is the required differential equation.
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Solution Form the Differential Equation of the Family of Hyperbolas Having Foci on X-axis and Centre at Origin. Concept: Procedure to Form a Differential Equation that Will Represent a Given Family of Curves.