Home
Class 12
MATHS
For the ellipse x^(2)+ 3y^(2) = a^(2) f...

For the ellipse `x^(2)+ 3y^(2) = a^(2)` find the length of major and minor axis.

Text Solution

Verified by Experts

The correct Answer is:
`(2asqrt3)/3`
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 3 marks)|10 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 5 marks )|5 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the incorrect statement : )|4 Videos
  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

The ratio of the volumes generated by revolving the ellipse (x^(2))/( 9) + ( y^(2))/( 4) = 1 about major and minor axes is

Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major and minor axes at Pa n dQ , respectively. Find the locus of the point dividing segment P Q in the ratio 2:1.

A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=1 intersects the major and minor axes at points Aa n dB , respectively. If C is the center of the ellipse, then find area of triangle A B Cdot

Show that the line x-y + 4 =0 is a tangents to the ellipse x^(2) + 3y^(2) =12 . Also find the coordinates of the points of contact.

Find the equation of the ellipse whose eccentricity is 1/2 , one of the foci is (2, 3) and a directrix is x = 7. Also find the length of the major and minor axes of the ellipse.

S and T are the foci of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is . . .

Volume of solid obtained by revolving the area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 about major and minor axes are in tha ratio……

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 :