List of top Mathematics Questions on Ellipse asked in KCET

If the area of the Ellipse is $\frac{x^{2}}{25}+\frac{y^{2}}{\lambda^{2}}=1$ is $20 \pi$ square units, then $\lambda$ is

The eccentricity of the ellipse $9x^2 + 25y^2 = 225$ is

The eccentric angle of the point $(2,\sqrt{3})$ lying on $\frac {x^2}{16}+\frac{y^2}{4}-1$ is _________

The distance of the point $'\theta'$ on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ from a focus is

The distance of a focus of the ellipse $9x^2+16y^2 =144$ from an end of the minor axis is

If one end of a diameter of the ellipse $ 4x^2 + y^2 = 16$ is $(\sqrt{3},2)$, then the other end is

The line $ y = 2x + c$ touches the ellipse $\frac{x^2}{16}+\frac{y^2}{4}=1$ if c is equal to

If the normal at one end of a latus-rectum of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ passes through one extremity of the minor axis, then the eccentricity of the ellipse is given by the equation

The sum of distances of any point on the ellipse $3x^2+4y^2=24$ from its foci is

The eccentricity of the conic $3x^2 + 4y^2 = 24$ is