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Tangent OF Ellipse

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Tangents of ellipse and hyperbola

The locus of mid points of parts in between axes and tangents of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 will be

The locus of point intersection of perpendicular tangents of ellipse ((x-1)^(2))/(16)+((y-1)^(2))/(9)=1 is

If a tangent on ellipse at A(1,1) intersect its directrix at B(7,-6) and S be the focus of ellipse and C(alpha, beta) is the centre of /_\SAB , then

An ellipse is drawn with major and minor axis of length 10 and 8 respectively.Using one focus a centre,a circle is drawn that is tangent to ellipse,with no part of the circle being outside the ellipse.The radius of the circle is (A) sqrt(3)(B) (C) 2sqrt(2)(D)sqrt(5)

Number of common tangents of ellipse ((X-2)^(2))/(9)+((y+2)^(2))/(4)=1 and the circle x^(2)+y^(2)-4x+2y+4=0 is

Area of quadrilateral formed by common tangents to ellipses E_(1):(x^(2))/(16)+(y^(2))/(9)=1 and E_(2):(x^(2))/(9)+(y^(2))/(16)=1 is

The length of perpendicular from the foci S and S on any tangent to ellipse (x^(2))/(4)+(y^(2))/(9)=1 are a and c respectively then the value of ac is equal to