Tag: ellipse
Questions Related to ellipse
The length of latus rectum of $\dfrac {x^2}9+\dfrac {y^2}2=1$ is
An ellipse of semi-axis $a,b,$ slides between two perpendicular lines, then the locus of its foci is, (the two lines being taken as the axes of coordinates)
If equation $(5x-1)^{2}+(5y-2)^{2}=(\lambda^{2}-2\lambda+1)(3x+4y-1)^{2}$ represents an ellipse, then $\lambda \in$
The number of parabolas that can be drawn if two ends of the latus rectum are given
The equation $\dfrac{{x}^{2}}{2-r}+\dfrac{{y}^{2}}{r-5}+1=0$ represents an ellipse if
The locus of the mid points of the portion of the tangents to the ellipse intercepted between the axes
Eccentricity of ellipse $\frac{{{x^2}}}{{{a^2} + 1}} + \frac{{{y^2}}}{{{a^2} + 2}} = 1$ is $\frac{1}{{\sqrt 3 }}$ then length of Latusrectum is
The equation $\dfrac { x ^ { 2 } } { 10 - a } + \dfrac { y ^ { 2 } } { 4 - a } = 1$ represents an ellipse if
If the latus rectum of an ellipse $x ^ { 2 } \tan ^ { 2 } \varphi + y ^ { 2 } \sec ^ { 2 } \varphi =$ $1$ is $1 / 2 $ then $\varphi $ is
vertices of an ellipse are $(0,\pm 10)$ and its eccentricity $e=4/5$ then its equation is