Home
Class 12
MATHS
Consider family of ellipse having foci a...

Consider family of ellipse having foci at (1, 3) and (3, 1) and touching both the axes. If r is the radius of the director circle of an ellipse from the family, then value of `r^2` is (`sqrt2` = 1.41)

Text Solution

Verified by Experts

The correct Answer is:
2.82
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct)|15 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 1 Single Correct)|25 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 Single Correct Answer)|10 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos
  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

An ellipse having foci (3,1) and (1,1) passes through the point (1,3) has the eccentricity

An ellipse sliding along coordinate axes.If the foci of ellipse are (1,1) and (3,3) .Then which of the following is/are correct? Radius of director circle of ellipse is 2sqrt(2) Length of major axis of ellipse is 2sqrt(5) Length of minor axis of ellipse is sqrt(3) Length of major axis of ellipse is

Find the equation of the ellipse whose foci are the points (1, 2) and (-3,2), and the length of the minor axis is 4sqrt3 .

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

Let two foci of an ellipse be S_(1)(2,3) and s_(2)(2,7) and the foot of perpendicular drawn from S1 upon any tangent to the ellipse be (-1,1) . If e be the eccentricity of ellipse and R be the radius of director circle of auxiliary circle of ellipse, then find the value of (eR^(2))/(2)

If radius of the director circle of the ellipse ((3x+4y-2)^(2))/(100)+((4x-3y+5)^(2))/(625) =1 is

Consider an ellipse (x^(2))/(a)+(y^(2))/(b)=1 If A_(1) and A_(2) denotes area of ellipes are of director circle respectively,them.

Consider circles C_1 & C_2 touching both the axes and passing through (4,4) , then the product of radii of these circles is

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length,then find the equation of the ellipse.The axes of ellipse are the coordinate axes.