An ellipse has foci at F1(9, 20) and F2(...

An ellipse has foci at F1(9, 20) and F2(49, 55) in the xy-plane and is tangent to the x-axis. Find the length of its major axis.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELLIPSE
MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos
ELLIPSE
MOTION|Exercise Exercise - 2 (Level-II) Multiple Correct | JEE Advanced|5 Videos
DIFFERENTIAL EQUATION
MOTION|Exercise Exercise 4|29 Videos
FUNCTION
MOTION|Exercise Exercise - 4 | Level-II|7 Videos

Similar Questions

Explore conceptually related problems

Equation of the ellipse whose foci are (2,2) and (4,2) and the major axis is of length 10 is

The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin to length of minor axis. Find the length of the major axis and minor axis.

If an ellipse has its foci at (2,0) and (-2,0) and its length of the latus rectum is 6, then the equation of the ellipse is:

If x+y=2 is a tangent to the ellipse foci are (2,3)&(3,5) is A) length of minor axis is 6 B) length of minor axis is 3 C) length of major axis is (sqrt(41))/(2) D) eccentricity of ellipse is (sqrt(5))/(sqrt(41))

An ellipse has the points (1,-1) and (2,-1) as its foci and x+y=5 as one of its tangent then the value of a^(2)+b^(2) where a,b are the lenghta of semi major and minor axes of ellipse respectively is

y-axis is a tangent to one ellipse with foci (2,0) and (6,4) if the length of the major axis is then [x]=_____

Find the equation of the ellipse having, length of major axis 8 and foci (+- 3, 0)

Find the equation of the ellipse having, length of major axis 26 and foci (+-5, 0)

MOTION-ELLIPSE -Exercise - 3 | Subjective | JEE Advanced

If any two chords be drawn through two points on the major axis of an ...
Text Solution
|
The tangent at any point P of a circle x^2 + y^2 = a^2 meets the tange...
Text Solution
|
An ellipse has foci at F1(9, 20) and F2(49, 55) in the xy-plane and is...
Text Solution
|
The tangent at the point alpha on a standard ellipse meets the auxilia...
Text Solution
|
Find the equations of the lines with equal intercepts on the axes & wh...
Text Solution
|
If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1...
Text Solution
|
Let d be the perpendicular distance from the centre of the ellipse x^2...
Text Solution
|
The tangent at a point P on an ellipse intersects the major axis at T ...
Text Solution
|
If the tangent at any point of an ellipse x^2/a^2 + y^2/b^2 =1 makes a...
Text Solution
|
Common tangents are drawn to the parabola y^2 = 4x & the ellipse 3x^2 ...
Text Solution
|
P & Q are the corresponding points on a standard ellipse & its auxilia...
Text Solution
|
A tangent to the ellipse x^2/a^2 +y^2/b^2 =1 touches at the point P on...
Text Solution
|
If the normal at the point P( theta) to the ellipse (x^(2))/(14)...
Text Solution
|
PG is the normal to a standard ellipse at P, G being on the major axis...
Text Solution
|
Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...
Text Solution
|
ABC is an isosceles triangle with its base BC twice its altitude. A po...
Text Solution
|
A circle intersects an ellipse x^2/a^2+y^2/b^2=1 precisely at three po...
Text Solution
|
Given the equation of the ellipse (x-3)^2/(16)+(y-4)^2/(49)=1 a parabo...
Text Solution
|
Consider the parabola y^2 =4x and the ellipse 2x^2 + y^2 =6, intersect...
Text Solution
|
Consider an ellipse x^2/25+y^2/9=1 with centre c and a point P on it ...
Text Solution
|