Class 11

Math

Co-ordinate Geometry

Conic Sections

An ellipse has $OB$ as the semi-minor axis, $FandF_{′}$ as its foci, and $∠FBF_{′}$ a right angle. Then, find the eccentricity of the ellipse.

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of $80_{∘}$, then $∠POA$ is equal to

Find the equation of the ellipse whose vertices are $(±13,0)$and foci are $(±5,0)$.

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.$4x_{2}+9y_{2}=36$

Find the equations of the hyperbola satisfying the given conditions :Foci $(±5,0)$, the transverse axis is of length 8.

If the line passing through $(4,3)and(2,k)$ is parallel to the line $y=2x+3,$ then find the value of $k˙$

If $ABC$ having vertices $A(acosθ_{1},asinθ_{1}),B(acosθ_{2}asinθ_{2}),andC(acosθ_{3},asinθ_{3})$ is equilateral, then prove that $cosθ_{1}+cosθ_{2}+cosθ_{3}=sinθ_{1}+sinθ_{2}+sinθ_{3}=0.$

A straight line is drawn through $P(3,4)$ to meet the axis of $x$ and $y$ at $AandB$ , respectively. If the rectangle $OACB$ is completed, then find the locus of $C˙$

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.$4x_{2} +25y_{2} =1$