# Find the Equation of the Hyperbola Satisfying the Give Conditions: Vertices (0, ±5), Foci (0, ±8) - Mathematics

Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±5), foci (0, ±8)

#### Solution

Vertices (0, ±5), foci (0, ±8)

Here, the vertices are on the y-axis.

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

Since the vertices are (0, ±5), = 5.

Since the foci are (0, ±8), c = 8.

We know that a2 + b2 = c2.

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#### APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 11 Conic Sections
Q 8 | Page 262