General Equation of Ellipse
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Q.
Consider an ellipse whose focus is at (ae, 0) and directrix along (x=ae).
Find the equation of the ellipse if
b2=a2(1−e2)
x2a2+y2b2=1
x2a2−y2b2=1
x2a2+y2b2=0
x2a2+y2b2=−1
Q. The equation of the ellipse with its focus at (6, 2), centre at (1, 2) and which passes through the point (4, 6) is
Q.
Foci of the Ellipse 25x2+9y2−150x−90y+225 = 0 are
(5, 7) (4, 7)
(6, 9) (5, 1)
(3, 9) (3, 1)
(4, 9) (4, 1)
Q. Two circles are given such that one is completely lying inside the other without touching and their centers are not coincides. Then the locus of variable circle which touches the smaller circle externally and bigger circle internally, is
- Circle
- Parabola
- Hyperbola
- Ellipse