The vertices of the ellipse `((x-2)^(2))/(9)+((y+3)^(2))/(4)=1` is

The co-ordinates of the vertices of the ellipse (X^(2))/(16) + (y^(2))/(9) =1 are

The co-ordinates of the vertices of the ellipse (X^(2))/(16) + (y^(2))/(9) =1 are

The equation of the tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

The locus of mid-points of the segments joining (-3, -5) and the points on the ellipse (x^(2))/(4) + (y^(2))/(9) = 1 is :

Find the locus of the mid-point of the chord of the ellipse (x^(2))/(16) + (y ^(2))/(9) =1, which is a normal to the ellipse (x ^(2))/(9) + (y ^(2))/(4) =1.

If e_(1) and e_(2) are the eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 respectively and (e_(1), e_(2)) is a point on the ellipse 15x^(2)+3y^(2)=k , then the value of k is equal to

If e_(1) and e_(2) are the eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 respectively and (e_(1), e_(2)) is a point on the ellipse 15x^(2)+3y^(2)=k , then the value of k is equal to

The eccentricity ofthe ellipse (x-3)^(2)+(y-4)^(2)=(y^(2))/(9) is

The eccentricity of the ellipse (x-3)^(2)+(y-4)^(2)=(y^(2))/(9)