Tag: maths

The eccentricity of ellipse whose line joining foci substends an angle of ${90} _{o}$ at an xtremity of minor axis is 

If the roots of the equation $x^2 - 4x + 1 = 0$ are the lengths of the semi-major axis and semi-minor axis of an ellipse, then the eccentricity of the ellipse lies between

If $\alpha,\beta$ are the eccentric of the extremities of a focal chord of an ellipse, then eccentricity of the ellipse is

(-4,1) and (6,1) are the vertices of an ellipse. If one of the foci of the ellipse. If one of the foci of the ellipse lies on x -2y = 2 then its eccentricity is

An ellipse whose foci and $(2,4)$ and $(14,9)$ touches the x-axis then the eccentricity of the ellipse is $\dfrac{P}{\sqrt{q}}$ (when p,q an comprise) then the units place of $p+4q$ is 

The eccentricity of the ellipse $4x^{2}+16y^{2}=576$ is

Eccentricity of the ellipse $5{ x }^{ 2 }+6xy+5{ y }^{ 2 }=8$ is.

For all admissible values of the parameter $a$ the straight line $2ax+y\sqrt{1-a^2}=1$ will touch an ellipse whose eccentricity is equal to

If  $( 5,12 )$  and  $( 24,7 )$  are the focii of a conic passing through the origin, then the eccentricity of conic is -

If the focal chord of the ellipse  $\dfrac { x ^ { 2 } } { a ^ { 2 } } + \dfrac { y ^ { 2 } } { b ^ { 2 } } = 1 , ( a > b )$  is normal at  $( a \cos \theta , b \sin \theta )$  then eccentricity of the ellipse is (it is given that  $sin\theta \neq0)$