The ellipse `(x^(2))/(25)+(y^(2))/(16)=1` with the major and minor axis in M and m respectively is

If the normal at a point P on the ellipse (x^(2))/(144)+(y^(2))/(16)=1 cuts major and minor axes at Q and R respectively.Then PR:PQ is equal to

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)

For the ellipse 4(x-2y+1)^(2)+9(2x+y+2)^(2)=180 lengths of major and minor axes are respectively

A hyperbola passes through a focus of the ellipse (x^(2))/(169)+(y^(2))/(25)=1. Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse.The product of eccentricities is 1. Then the equation of the hyperbola is

The given equation of the ellipse is (x^(2))/(81) + (y^(2))/(16) =1 . Find the length of the major and minor axes. Eccentricity and length of the latus rectum.

The vertex of ellipse (x^(2))/(16)+(y^(2))/(25)=1 are :

Find the maximum area of an isosceles triangle incribed in the ellipse (x^(2))/(25)+(y^(2))/(16)=1, with its vertex atone end of the major axis.

The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cuts the minor axis in Q and PR is drawn perpendicular to the minor axis. If C is the centre of the ellipse, then CQ*CR =

For the ellipse ((x+y-1)^(2))/(9)+((x-y+2)^(2))/(4)=1 the end of major axis are