Consider the ellipse `x^2/3 + y^2/1 = 1`. Let P,Q,R,S be four points on the ellipse such that the normal drawn from these points are con current at (2,2) then the centre of the conic on which these 4 points lie is

Consider the ellipse (x^(2))/(3)+(y^(2))/(1)=1. Let PO,R.S be four points on the ellipse such that the normal drawn from these points are con current at (2,2) then the centre of the conic on which these 4points lie is

Given the ellipse (x ^(2))/(4) +y ^(2) =1, the point on the line x =2, such that the tangents drawn from the point to the ellipse are at 45^(@), is

Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal to the ellipse passes through at least one of the foci of the ellipse is

If the distance of a point on the ellipse (x^(2))/(6) + (y^(2))/(2) = 1 from the centre is 2, then the eccentric angle of the point, is

Let S and S\' be the foci of the ellipse x^2/9 + y^2/4 = 1 and P and Q be points on the ellipse such that PS.PS\' is maximum and QS.QS \' is maximum. Statement 1 : PQ=4 . Statement 2 : If P is a point on an ellipse and S\' and S are its foci, then PS + PS\' is constant.

If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, 3). then the co-normal points lie on the curve

If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, 3). then the co-normal points lie on the curve

If normals are drawn to the ellipse x^2 + 2y^2 = 2 from the point (2, 3). then the co-normal points lie on the curve

If normals are drawn to the ellipse x^(2)+2y^(2)=2 from the point (2,3). then the co-normal points lie on the curve

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.