Equation of an ellipse whose axes are parallel to co-ordinate axes and center is `(h,k)`

Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at (3, – 4), one focus at (4, – 4) and one vertex at (5, – 4). If mx – y = 4, m gt 0 is a tangent to the ellipse E, then the value of 5 m^(2) is equal to _____

Find the equation of an ellipse whose axes lie along coordinate axes and which passes through (4,3) and (-1,4).

The equation of the ellipse whose axes are along the coordinate axes, vertices are (0, +- 10) and eccentricity e = 4/5

Find the equation of the ellipse whose axes are along the coordinate axes, vertices are (0,+-10) and eccentricity e=4//5 .

What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?

Find the equation of the ellipse whose axes are along the coordinate axes, vertices are (+-5,0) and foci at (+-4,0) .

Find the equation of the ellipse whose axes are along the coordinate axes, vertices are (+-5,0) and foci at (+-4,0) .

Equation of the ellipse whose axes are the axes of co-ordinates and which passes through the point (-3,1) and has eccentricity sqrt(2//5) is :

The equation of the ellipse , with axes parallel to the coordinates axes , whose eccentricity is (1)/(3) and foci at (2,-2) and (2,4) is

The equation of the ellipse , with axes parallel to the coordinates axes , whose eccentricity is (1)/(3) and foci at (2,-2) and (2,4) is