If e and e1 are the eccentricities of the hyperbola : xy=c², x²-y²=c² then e²+e1²=

a.)1
b.)4
c.)6
d.)8

Question

If e and e1 are the eccentricities of the hyperbola : xy=c²,
x²-y²=c² then e²+e1²=

a )1
b )4
c )6
d )8

Ajanta Trivedi · Accepted Answer

the given equations represent the
rectangular hyperbolas
eccentricity of the rectangular hyperbola is 2
xy=c2 represent a rectangular hyperbolatherefore e=2x2-y2=c2 also represent the rectangular hyperbola
therefore e1=2thus e2+e12=2+2=4thus option (b) is correct

hope this helps you

If e and e1 are the eccentricities of the hyperbola : xy=c², x²-y²=c² then e²+e1²= a.)1 b.)4 c.)6 d.)8

If e and e1 are the eccentricities of the hyperbola : xy=c², x²-y²=c² then e²+e1²=

a.)1
b.)4
c.)6
d.)8