Give the standard equation of hyperbola with foci (±7,0) and horizont

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

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

Answer» ER :

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

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