Give the standard equation of hyperbola with foci (±7,0) and horizontal transverse axis of length 10units.

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answer :

length of transverse axis = 2a = 10

Or, a= 5

foci of given hyperbola is c

Or, c=7

we know, c²= a²+b²

7² = 5²+b²

49= 25+b²

b² = 24

equation of hyperbola, x²/a² – y²/b²= 1

x²/25 -y²/24=1

24x² – 25y² = 600