The centre of the ellipse $4{x^2} + 9{y^2} - 16x - 54y + 61 = 0$ is
$(1,3)$
$(2, 3)$
$(3, 2)$
$(3, 1)$
The foci of $16{x^2} + 25{y^2} = 400$ are
Eccentric angle of a point on the ellipse ${x^2} + 3{y^2} = 6$ at a distance $2$ units from the centre of the ellipse is
If the line $y = mx + c$touches the ellipse $\frac{{{x^2}}}{{{b^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1$, then $c = $
From the point$ C(0,\lambda )$ two tangents are drawn to ellipse $x^2\ +\ 2y^2\ = 4$ cutting major axis at $A$ and $B$. If area of $\Delta$ $ABC$ is minimum, then value of $\lambda$ is-
The eccentricity of the ellipse $25{x^2} + 16{y^2} - 150x - 175 = 0$ is