1
P and Q are the foci of the ellipse x²/a^2 + y²/b^2 = 1 and B is an en ...
Ellipse
2
An ellipse having foci at (3, 3) and (-4, 4) and passing through the o ...
Ellipse
3
If the eccentricity of the ellipse x²/(a^2+1)+ y²/(a^2+2) = 1 is 1/√6, ...
Ellipse
4
If PQR is an equilateral triangle inscribed in the auxiliary circle of ...
Ellipse
5
S₁ and S₂ are foci of an ellipse with a major axis of length 10 units ...
Ellipse
6
If the ellipse x²/4 + y² = 1 meets the ellipse x² + y²/a^2 = 1 in four ...
Ellipse
7
With a given point and line as focus and directrix, a series of ellips ...
Ellipse
8
A line of fixed length A+B moves so that its ends are always on two fi ...
Ellipse
9
The length of the major axis of the ellipse (5x-10)² + (5y +15)² = (3x ...
Ellipse
10
Angle subtended by common tangents of two ellipses 4(x-4)² + 25y² = 10 ...
Ellipse
11
A circle has the same centre as an ellipse and passes through the foci ...
Ellipse
12
The line x = ^2r meets the ellipse x² + y²/9^2 = 1 in real and distinc ...
Ellipse
13
The auxiliary circle of a family of ellipses passes through origin and ...
Ellipse
14
A man running round a race course notes that the sum of the distances ...
Ellipse
15
There are exactly two points on the ellipse x²/a² + y²/b² = 1 whose di ...
Ellipse
16
The eccentricity of locus of point (3h+2, k) where (h, k) lies on the ...
Ellipse
17
Let S and S' be two foci of the ellipse x²/a² + y²/b² = 1. If a circle ...
Ellipse
18
The eccentric angle of a point on the ellipse x²/4 + y²/3 = 1 at a dis ...
Ellipse
19
If the curves x²/4 + y² = 1 and x²/a^2 + y² = 1 for suitable value of ...
Ellipse
20
From any point P lying in first quadrant on the ellipse x²/25 + y²/16 ...
Ellipse
21
Let d₁ and d₂ be the lengths of the perpendiculars drawn from foci S a ...
Ellipse
22
Locus of the point which divides double ordinates of the ellipse x²/a² ...
Ellipse
23
The sum of the squares of the perpendiculars on any two tangents to th ...
Ellipse
24
The slopes of the common tangents of the ellipse and the circle (x^2/4 ...
Ellipse
25
The point of intersection of the tangents at the point P on the ellips ...
Ellipse
26
If the tangents to the ellipse x²/a² + y²/b² = 1 make angles α and β w ...
Ellipse
27
A tangent to the ellipse x²/a² + y²/b² = 1 at any point P meets the li ...
Ellipse
28
For the ellipse x²/9 + y²/4 = 1 with vertices A and A', tangent drawn ...
Ellipse
29
A tangent having slope -4/3 to the ellipse x²/18 + y²/32 = 1 intersect ...
Ellipse
30
Let P be any point on a directrix of an ellipse of eccentricity e. S b ...
Ellipse
31
If a tangent of slope 2 of the ellipse x²/a² + y²/b² = 1 is normal to ...
Ellipse
32
Ifα -β = a constant, then the locus of the point of intersection of ta ...
Ellipse
33
The locus of the point of intersection of tangents to an ellipse at tw ...
Ellipse
34
If(root3)bx + ay = 2ab touches the ellipse x²/a² + y²/b² = 1, then th ...
Ellipse
35
The normal at a variable point P on the ellipse x²/a² + y²/b² = 1 of e ...
Ellipse
36
Any ordinate MP of the ellipse x^2/25 + y^2/9 = 1 meets the auxiliary ...
Ellipse
37
Number of distinct normal lines that can be drawn to the ellipse (x^2/ ...
Ellipse
38
An ellipse has the points (1,-1) and (2,-1) as its foci and x+y-5=0 as ...
Ellipse
39
If tangents PQ and PR are drawn from a point on the circle (x^2 + y^2 ...
Ellipse
