1.

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola (x^(2))/(16)-(y^(2))/(9)=1

Answer»

Solution :`(x^(2))/(16)-(y^(2))/(9)=1`
Here,`a^(2)=16,b^(2)=9rArra=4,b=3`
`:."Vertices"-=(pma,0)-=(pm4,0)`
ECCENTRICITY `e=SQRT(1+(b^(2))/(a^(2)))=sqrt(1+(9)/(16))=(5)/(4)`
Coordinates of foci `-=(pmae,0)-=(pm5,0)`
Latus rectum `=(2b^(2))/(a)=(2xx9)/(4)=(9)/(2)`


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