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Find the Equation of the Hyperbola Satisfying the Give Conditions: Vertices (±2, 0), Foci (±3, 0) - CBSE (Arts) Class 11 - Mathematics

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Question

Find the equation of the hyperbola satisfying the give conditions: Vertices (±2, 0), foci (±3, 0)

Solution

Vertices (±2, 0), foci (±3, 0)

Here, the vertices are on the x-axis.

Therefore, the equation of the hyperbola is of the form `x^2/a^2 - y^2/b^2 = 1`.

Since the vertices are (±2, 0), = 2.

Since the foci are (±3, 0), c = 3.

We know that a2 + b2 = c2.

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Solution Find the Equation of the Hyperbola Satisfying the Give Conditions: Vertices (±2, 0), Foci (±3, 0) Concept: Hyperbola - Eccentricity.
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