The equation of the passing through the of the ellipse `(x^(2))/(16)+(y^(2))/(9)=1`, and having centre at (0,3) is :

The equation of the circle passing through the foci of the ellipse (x^(2))/(16) + (y^(2)) /(9) = 1 and having centre at (0 , 3) is _

find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(2))/(16) = 1

Find the area of the region bounded by the ellipse x^(2)/16+y^(2)/9=1 .

Equations of the tangent and the normal drawn at the point (6, 0) on the ellipse (x^(2))/(36) + (y^(2))/(9 )= 1 respectively are-

Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 . Then the radius of the circle with centre (0 , sqrt(2)) and passing through the foci of the ellipse is _

Let the equation of an ellipse be (x^(2))/(144)+(y^(2))/(25)=1 . Then the radius of the circle with centre (0, sqrt(2)) and passing through the foci of the ellipse is

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)

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Find the equation of the circle passing through the points of intersection of the circles x^(2) + y^(2) - x + 7y - 3 = 0, x^(2) + y^(2) - 5x - y + 1 = 0 and having its centre on the line x+y = 0.