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

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

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  1. 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

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