Focal Chord of Ellipse
Trending Questions
Q. If PSQ is a focal chord of the ellipse 16x2+25y2=400 such that SP = 8 then the length of SQ =
- 2
- 16
- 25
Q.
PSQ is a focal chord of the ellipse x24+y29 = 1 then 1SP+1SQ =
2/3
3/2
4/3
4/9
Q. PSP’ is a focal chord of the ellipse 16x2+25y2=400. If SP = 8 then SP’ =
Q. The eccentric angles of extremities of a focal chord (other than Major axis) of an ellipse x2a2+y2b2=1 are θ1 and θ2.
If the eccentricity of the ellipse are e1 and e2 for the conditions a>b and b>a respectively, then cos2(θ1−θ22)(1e21+1e22) is
If the eccentricity of the ellipse are e1 and e2 for the conditions a>b and b>a respectively, then cos2(θ1−θ22)(1e21+1e22) is
Q. An ellipse having foci at (3, 3) and (−4, 4) and passing through the origin has eccentricity equal to:
- 37
- 27
- 57
- 35
Q. On the ellipse, 9x2+25y2=225, find the point whose distance to the focus F1 is four times the distance to the other focus F2.
- [−15, √63]
- (−154, √632)
- (−154, √634)
- (−152, √632)
Q. The sum of the distances of any point on the ellipse 3x2+4y2=24 from its foci is :
- 8√2
- 16√2
- 4√2
- 8
Q. Find the lengths of, and the equations to, the focal radii drawn to the point (4√3, 5) of the ellipse 25x2+16y2=1600.
Q. If F1=(3, 0), F2=(−3, 0) and P is any point on the curve 16x2+25y2=400, then PF1+PF2 equals to:
- 8
- 6
- 10
- 12
Q. Find the focal distance of a point P(θ) on the ellipse x2a2+y2b2=1(a>b)