" (iv) whose eccentricity is "(1)/(sqrt(2))" and length of latus "

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is (1)/(sqrt(2)) and length of latus rectum 3 .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is sqrt((2)/(3)) and the length of semi-latus rectum is 2 unit

Find the equation of the ellipse whose major axis is parallel to x - axis and centre is (-3,2) , eccentricity is (sqrt(7))/(4) and the length of latus rectum is (9)/(2) .

Taking major and minor axes along y and x-axes, find the equation of the ellipse whose eccentricity sqrt((3)/(7)) and the length of latus rectum (8)/(sqrt(7))

Find the equation of the hyperbola whose axis are the axis of coordinates and eccentricity is sqrt((3)/(2)) and length of latus rectum is sqrt(2) .

Let frac{x^2}{a^2}+ frac{y^2}{b^2}=1 , a gt b be an ellipse, whose eccentricity is frac{1}{sqrt 2} and the length of the latus rectum is sqrt (14) . Then the square of the eccentricity of frac{x^2}{a^2}- frac{y^2}{b^2}=1 is

Find the equation of the hyperbola, whose axes are axes of coordinates and eccentricity is sqrt((3)/(2)) and the length of semi-latus rectum is 2.

What is the sum the major and minor axes of the ellipse whose eccentricity is 4/5 and length of latus rectum is 14.4 unit ?

If length of the transverse axis of a hyperbola is 8 and its eccentricity is sqrt(5)//2 then the length of a latus rectum of the hyperbola is