The locus of mid points of intercept made by tangents between co-ordinate axis of ellipse `x^2+2y^2=2` is (A) `1/(4x^2)+1/(2y^2)=1` (B) `x^2/2+y^2/4=1` (C) `x^2/4+y^2/2=1` (D) `1/(2x^2)+1/(4y^2)=1`

If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the midpoint of the intercept made by the tangents between the coordinate axes is (a) 1/(2x^2)+1/(4y^2)=1 (b) 1/(4x^2)+1/(2y^2)=1 (c) (x^2)/2+y^2=1 (d) (x^2)/4+(y^2)/2=1

The locus of mid point of tangent intercepted between area of ellipse x^2/a^2 +y^2/b^2 = 1 is

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 the point of intersection of the tangents at the extremities of the chords of the ellipse x^2+2y^2=6 which touch the ellipse x^2+4y^2=4, is x^2+y^2=4 (b) x^2+y^2=6 x^2+y^2=9 (d) None of these

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

Locus of all such points from where the tangents drawn to the ellipse x^2/a^2 + y^2/b^2 = 1 are always inclined at 45^0 is: (A) (x^2 + y^2 - a^2 - b^2)^2 = (b^2 x^2 + a^2 y^2 - 1) (B) (x^2 + y^2 - a^2 - b^2)^2 = 4(b^2 x^2 + a^2 y^2 - 1) (C) (x^2 + y^2 - a^2 - b^2)^2 = 4(a^2 x^2 + b^2 y^2 - 1) (D) none of these

The eccentricity of ellipse 4(x-2y+1)^2 +9(2x+y+2)^2=180 is

The minimum length of intercept on any tangent to the ellipse (x^(2))/(4)+(y^(2))/(9)=1 cut by the circle x^(2)+y^(2)=25 is :

The locus of the middle points of the portions of the tangents of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 included between the axis is the curve (a)    (x^2)/(a^2)+(y^2)/(b^2)=1/4 (b)    (a^2)/(x^2)+(b^2)/(y^2)=4 (c)    a^2x^2+b^2y^2=4 (d)    b^2x^2+a^2y^2=4

The locus of pole of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with respect to the parabola y^(2)=4ax, is