The Maximum Area Of An Isosceles Triangle Inscribed In The Ellipse  with Its Vertex At One End Of The Major Axis Is

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.



The maximum area of an isosceles triangle inscribed in the ellipse  with its vertex at one end of the major axis is


Correct option is

 are points on the ellipse  is isosceles if ∆ is area



Now maximize 

So max



The locus of the poles of normal chords of an ellipse is given by


Let be the perpendicular distance from the center of the ellipse  to the tangent drawn at point P on the ellipse. If F1and F2 are the two foci of the ellipse, then. Where k =


An ellipse has eccentricity  and one focus at the point . Its one directrix is the common tangent nearer to the point P, to the circle x2 + y2 = 1 and the hyperbola x2 – y2 =1. The equation of the ellipse in the standard from is


The eccentricity of the curve x2 + 2y2 – 2x + 3+ 2 = 0 is


A tangent to the ellipse x2 + 4y2 = 4 meets the ellipse x2 + 2y2 = 6 at P and Q. Then angle between the tangents at P and Q of the ellipse  x2 + 2y2 = 6 is


Tangents are drawn to the ellipse  at the end of latus rectum. Find the area of quadrilateral so formed   


The eccentricity of the ellipse which meets the straight line  on the axis of x and the straight line  on the axis of y and whose axes lies along the axes of coordinates is


The line lx + my + n = 0 is a normal to the ellipse  if


If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the center of the ellipse


The angle between the pair of tangents drawn from the point (1, 2) to the ellipse 3x2 + 2y2 = 5 is