is one of the angles between the normals to the ellipse a2x2+b2y2=1
at the point whose eccentric angles are θ
, then prove that sin2θ2cotω=1−e2e2
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
having vertices A(acosθ1,asinθ1),B(acosθ2asinθ2),andC(acosθ3,asinθ3)
is equilateral, then prove that cosθ1+cosθ2+cosθ3=sinθ1+sinθ2+sinθ3=0.
Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.9y2−27x2=1
Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x2+4y2=36.
be two given point. Find the slope of a line perpendicular to AB˙
Find the equation of the parabola that satisfies the given conditions:Vertex (0,0) passing through (2,3) arid axis is along x–axis.
is a variable point whose locus is 2x+3y+4=0;
corresponding to a particular position of Q,P
is the point of section of OQ,O
being the origin, such that OP:PQ=3:1.
Find the locus of P˙
Determine the ratio in which the line 3x+y−9=0
divides the segment joining the points (1,3) and (2,7)˙
Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.16x2−9y2=576