R D Sharma Solutions for Chapter: Ellipse, Exercise 2: VERY SHORT ANSWER QUESTIONS (VSAQs)

Write the eccentricity of the ellipse $9x^2+5y^2-18x-2y-16=0$

Write the centre and eccentricity of the ellipse $3x^2+4y^2-6x+8y-5=0$

$PSQ$ is a focal chord of the ellipse $4x^2+9y^2=36$ such that $SP=4$. If $S^{\text{'}}$ is the another focus, write the value of $S^{\text{'}}Q$.

Write the eccentricity of an ellipse whose latus-rectum is one half of the minor axis

If the distance between the foci of an ellipse is equal to the length of the latus-rectum, write the eccentricity of the ellipse.

If $S$ and $S^{\text{'}}$ are two foci of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and $B$ is an end of the minor axis such that $∆BS{S}^{\text{'}}$ is equilateral, then write the eccentricity of the ellipse

If the minor axis of an ellipse subtends an equilateral triangle with vertex at one end of major axis, then write the eccentricity of the ellipse.

If a latus rectum of an ellipse subtends a right angle at the centre of the ellipse, then write the eccentricity of the ellipse.