Find the foci of the ellipse `25(x+1)^2+9(y+2)^2=225.`

Find the centre, the length of axes, the eccentricity and the foci of the ellipse 12x^(2)+4y^(2)+24x-16y+25=0

The foci of a hyperbola coincide with the foci of the ellipse (x^(2))/(25)+(y^(2))/(9)=1. Find the equation of the hyperbola,if its eccentricity is 2 .

The product of the perpendiculars from the two foci of the ellipse (x^(2))/(9)+(y^(2))/(25)=1 on the tangent at any point on the ellipse

If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hyperbola (x^(2))/(144)-(y^(2))/(81)=(1)/(25) coincide,then find the value of b^(2)

Distance between the foci of the ellipse 25x^(2)+16y^(2)+100x-64y-236=0 is

The foci of a hyperbola coincide with the foci of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 . If the eccentricity of the hyperbola is 2 , then the equation of the tangent of this hyperbola passing through the point (4,6) is