If the focal distance of an end of the m...

If the focal distance of an end of the minor axis of an ellipse (referred to its axes as the axes of `x and y` , respectively) is `k` and the distance between its foci is `2h ,` them find its equation.

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE ENGLISH|Exercise All Questions|886 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse (referred to its axes as the axes of x and y , respectively) whose foci are (+-2,0) and eccentricity is 1/2

Find the equation of the ellipse (referred to its axes as the axes of xa n dy , respectively) whose foci are (+-2,0) and eccentricity is 1/2

Find the equation of the hyperbola, referred to its axes as the axes of coordinates, whose conjugate axis is 3 and the distance between whose foci is 5,

If the focal distance of the one end of the minor axis of standard ellipse is k and distance between its foci is 2h(kgth) , then find its equation.

Find the equation to the ellipse (referred to its axes as the axes of x\ a n d\ y respectively) which passes through the point (-3,1) and has eccentricity sqrt(2/5)

The focal distance of an end of the minor axis of the ellipse is k and the distance between the foci is 2h. Find the lengths of the semi-axes.

If the focal distance of one ed of minor axis of an ellipse is k and distance betwnn foci is 2h then find the equation of the ellipse.

If the eccentricity of an ellipse is 5/8 and the distance between its foci is 10 , then find the latusrectum of the ellipse.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

From any point P lying in the first quadrant on the ellipse (x^2)/(25)...
Text Solution
|
If any line perpendicular to the transverse axis cuts the hyperbola (x...
Text Solution
|
If the focal distance of an end of the minor axis of an ellipse (ref...
Text Solution
|
Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...
Text Solution
|
A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...
Text Solution
|
Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...
Text Solution
|
The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...
Text Solution
|
Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...
Text Solution
|
The coordinates of the vertices Ba n dC of a triangle A B C are (2,...
Text Solution
|
If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...
Text Solution
|
If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...
Text Solution
|
Find the condition on a and b for which two distinct chords of the hyp...
Text Solution
|
The point of intersection of the tangents at the point P on the ellip...
Text Solution
|
Find the equation of the ellipse (referred to its axes as the axes o...
Text Solution
|
Tangents are drawn to the ellipse x^2/a^2+y^2/b^2=1 at two points who...
Text Solution
|
The sum of the squares of the perpendiculars on any tangents to the ...
Text Solution
|
A rod of length 12 cm moves with its ends always touching the coord...
Text Solution
|
Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...
Text Solution
|
If alpha-beta= constant, then the locus of the point of intersection o...
Text Solution
|
Two circles are given such that one is completely lying inside the ...
Text Solution
|