With one focus of the hyperbola `x^2/9-y^2/16=1` as the centre, a circle is drawn which is tangent to the hyperbola with no part of the circle being outside the hyperbola. The radius of the circle is

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

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

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) sqrt3 (B) 2 (C) 2sqrt2 (D) sqrt5

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)

The number of points outside the hyperbola x^2/9-y^2/16=1 from where two perpendicular tangents can be drawn to the hyperbola are:

The locus of the midpoint of the chord of the circle x^2+y^2=25 which is tangent of the hyperbola x^2/9-y^2/16=1 is

The auxiliary circle of the hyperbola xy=9 is:

If one of the directic of hyperbola (x^(2))/(9)-(y^(2))/(16)=1 is x=-(9)/(5) then the corresponding of hyperbola is

The locus of mid-point of the chord of circle x^2+y^2=16 , which are tangent to the hyperbola 9x^2-16y^2=144 , is

If the foci of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 coincide with the foci of (x^(2))/(25)+(y^(2))/(9)=1 and the eccentricity of the hyperbola is 2, then a^(2)+b^(2)=16 there is no director circle to the hyperbola the center of the director circle is (0,0). the length of latus rectum of the hyperbola is 12