Question

Consider the parabola `y=x^(2)+7x+2` and the straight line `y=3x-3`.
What is equation of the ellipse having foci `(+-2, 0)` the eccentricity `1/4` ?
A. `x^(2)/64+y^(2)/60=1`
B. `x^(2)/60+y^(2)/64=1`
C. `x^(2)/20+y^(2)/24=1`
D. `x^(2)/24+y^(2)/20=1`

Answer 1

Correct Answer - A
`"Foci: "(+-2, 0), e= 1/4`
`c=2, e=1/4=c/arArr2/arArra=8`
`"We know, "a^(2)-b^(2)=c^(2)`
`rArrb^(2)=a^(2)-c^(2)=8^(2)-2^(2)=64-4=60`
`"Eqn of ellipse"rArrx^(2)/a^(2)+y^(2)/b^(2)=1`
`rArr" "x^(2)/64+y^(2)/60=1`