[" eccentricity is "(sqrt(13))/(3)" and the sum of the squares of the "],[" lengths of axes is "52" ."]

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is (1)/(sqrt(2)) and the sum of the squares of major and minor axes is 24 .

Find the sum of : -52 and 52

In a paralledogram, the sum of the square of the lengths of the diagonals is equal to sum of the squares of the lengths of its sides.

Find the sum of: -52 and 52

The sum of three numbers in G.P. is (13)/(3) and the sum of their squares is (91)/(9) , find the numbers.

If equation of ellipse is (3x-9)^2+9y^2=(x+sqrt(2)y+1)^2 then (1) Its eccentricity is 1/(sqrt(3)) (2) Its eccentricity is 1/(sqrt(2)) (3) Length of major axis is 4' (4) Length of minor axis is 4'

Find the equation of the hyperbola, the length of whose latus rectum is 8 , eccentricity is 3/sqrt(5) and whose transverse and conjugate axes are along the x and y axes respectively.

Find the equation of the hyperbola, the length of whose latus rectum is 8 , eccentricity is 3/sqrt(5) and whose transverse and conjugate axes are along the x and y axes respectively.