Consider the ellipse `x^(2)/(tan^(2)alpha)+y^(2)/(sec^(2)alpha)=1` where`alphain(0,pi/2)`. Which of the following quantities would vary as `alpha` varies?

Given the family of hyperbolas x^(2)/(cos^(2)alpha)-y^(2)/sin^(2)alpha=1" for "alphain(0,pi//2) which of the following does not change with varying alpha ?

For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1;(0

If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1 is 1/2 then alpha=

For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/( sin ^(2) alpha ) =1 Which of the following remains constant when alpha varies ?

If latus recturn of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1 is (1)/(2) then alpha(0

For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/(sin^(2) alpha ) =1 ,which of the following remains constant when alpha varies?

For the hyperbola x^2/ cos^2 alpha - y^2 /sin^2 alpha = 1;(0 lt alphalt pi/4) . Which of the following remains constant when alpha varies?

For the hyperbola x^2/ cos^2 alpha - y^2 /sin^2 alpha = 1;(0 lt alphalt pi/4) . Which of the following remains constant when alpha varies?

For the hyperbola x^2/ cos^2 alpha - y^2 /sin^2 alpha = 1;(0 lt alphalt pi/4) . Which of the following remains constant when alpha varies?