Q. 11 A5.0( 1 Vote )

# In each of the fo

Given: Vertices are (±2, 0) and foci are (±3, 0)

To find: equation of the hyperbola

Formula used:

The standard form of the equation of the hyperbola is, Vertices of the hyperbola are given by (±a, 0)

Foci of the hyperbola are given by (±ae, 0)

Vertices are (±2, 0) and foci are (±3, 0)

Therefore,

a = 2 and ae = 3

2 × e = 3 b2 = a2(e2 – 1)     b2 = 5

The equation of hyperbola:   5x2 – 4y2 = 20

5x2 – 4y2 – 20 = 0

Hence, required equation of hyperbola is 5x2 – 4y2 – 20 = 0

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