An ellipse has O B as the semi-minor ...

An ellipse has `O B` as the semi-minor axis, `Fa n dF '` as its foci, and `/_F B F '` a right angle. Then, find the eccentricity of the ellipse.

A

`(1)/(2)`

B

`(1)/(sqrt(2))`

C

`(1)/(sqrt(3))`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

ELLIPSE
MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos
ELLIPSE
MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
ELLIPSE
MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
DIFFERENTIAL EQUATIONS
MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
FAMILY OF LINES
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

An ellipse has O B as semi minor axis, F and F^(prime) its foci and the angle F B F^(prime) is a right angle. Then the eccentricity of the ellipse is

An ellipse has OB as a semi-minor axis. S_(1),S_(2) are its foci and the angle S_(1)BS_(2) is a right-angle, then the eccentricity of the ellipse is :

S_(1) and S_(2) are the foci of an ellipse and B is the end of the minor axis. If the triangle S_(1) S_(2) B is an equilateral triangle, then eccentricity of the ellipse is

A circle described with minor axis of an ellipse as a diameter. If the foci lie on the circle, the eccentricity of the ellipse is

If the minor axis of an ellipse subtends an angle 60^(circ) at each focus then the eccentricity of the ellipse is

An ellipse has a minor axis of Iength 6 and the distance between its foci is 8 . Its equation is

In an ellipse the distance between the foci is 6 and minor axis is 8 . Then the eccentricity is

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36

The angle between the lines joining the foci of an ellipse to an extremity of the minor axis is 90^(circ) , then the eccentricity of the ellipse is

MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ

A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...
Text Solution
|
If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...
Text Solution
|
If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...
Text Solution
|
If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...
Text Solution
|
S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...
Text Solution
|
Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...
Text Solution
|
If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...
Text Solution
|
If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...
Text Solution
|
Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...
Text Solution
|
if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...
Text Solution
|
Area of the greatest rectangle that can be inscribed in the ellipse (x...
Text Solution
|
An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...
Text Solution
|
A focus of an ellipse is at the origin. The directrix is the line x =4...
Text Solution
|
The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...
Text Solution
|
If the locus of the middle point of the portion of a tangent of the el...
Text Solution
|
In a model, it is shown that an arc of a bridge is semi-elliptical hav...
Text Solution
|
A tangent is drawn at the point (3sqrt3costheta, sintheta) for 0ltthet...
Text Solution
|
If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...
Text Solution
|
The line passing through the extremity A of the major exis and extrem...
Text Solution
|
The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...
Text Solution
|