JEE Main 202127 Jul, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002
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 > 0 is a tangent to the ellipse E, then the value of 5m² is equal to _____________.