Statement 1 : The area of the ellipse `2x^2+3y^2=6` is more than the area of the circle `x^2+y^2-2x+4y+4=0` . Statement 2 : The length f the semi-major axis of an ellipse is more that the radius of the circle.

If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to the circle x^2 +y^2-8x-4y=0 then theta is equal to

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find the radius and centre of the circle of the circle x^(2) + y^(2) + 2x + 4y -1=0 .

The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

If a tangent of slope 1/3 of the ellipse (x^2)/a^2+y^2/b^2=1(a > b) is normal to the circle x^2 + y^2 + 2x + 2 y +1=0 then

Statement 1 : The equations of the tangents drawn at the ends of the major axis of the ellipse 9x^2+5y^2-30 y=0 is y=0,y=6 . Statement 2 : The tangents drawn at the ends of the major axis of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 are always parallel to the y-axis.

the foot of perpendicular from a focus on any tangent to the ellipse x^2/4^2 + y^2/3^2 = 1 lies on the circle x^2 + y^2 = 25 . Statement 2: The locus of foot of perpendicular from focus to any tangent to an ellipse is its auxiliary circle.

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is