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

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.

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