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