The line x+2y=1 cuts the ellipse x2+4y2=1 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find poin C.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Find the coordinates of the foci and the vertices the eccentricity and the length of the latus of rectum of the hyperbola 9y2−27x2=1
If αandβ are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is sin(α+β)sinα+sinβ
Prove that the chords of contact of pairs of perpendicular tangents to the ellipse a2x2+b2y2=1 touch another fixed ellipse.
are the feet of the perpendiculars from the foci S1andS2
of the ellipse 25x2+16y2=1
on the tangent at any point P
on the ellipse, then prove that S1F1+S2F2≥8.
Two perpendicular tangents drawn to the ellipse 25x2+16y2=1
intersect on the curve.
The center of an ellipse is C
is any ordinate. Point A,A′
are the endpoints of the major axis. Then find the value of ANPN2A˙primeN˙
Find the equation of the hyperbola satisfying the given conditions: Foci (±35,0) the latus rectum is of length 8
If PSQ is a focal chord of the ellipse 16x2+25y2=400 such that SP=8, then find the length of SQ. is (a) 21 (b) 94 (c) 98 (d) 916