Tangents are drawn from any point on the ellipse `x^2/9+y^2/4=1` to the circle `x^2+y^2=1` and respective chord of contact always touches a conic 'C', then -

Tangents are drawn from points on the line x-y+2=0 to the ellipse x^(2)+2y^(2)=4 then all the chords of contact pass through the point

Tangents are drawn from points on the line x+2y=8 to the circle x^(2)+y^(2)=16. If locus of mid-point of chord of contacts of the tangents is a circles S, then radius of circle S will be

tangent is drawn at point P(x_(1),y_(1)) on the hyperbola (x^(2))/(4)-y^(2)=1. If pair of tangents are drawn from any point on this tangent to the circle x^(2)+y^(2)=16 such that chords of contact are concurrent at the point (x_(2),y_(2)) then

Tangents are drawn from any point on the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 to the circle x^(2)+y^(2)=9. Find the locus of the midpoint of the chord of contact.

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then (a)x_1,a ,x_2 in GP (b) (y_1)/2,a ,y_2 are in GP (c)-4,(y_1)/(y_2),(x_1//x_2) are in GP (d) x_1x_2+y_1y_2=a^2

Tangents are drawn from any point on the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 to the circle x^(2)+y^(2)=9 .If the locus of the mid-point of the chord of contact is a a(x^(2)+y^(2))^(2)=bx^(2)-cy^(2) then the value of (a^(2)+b^(2)+c^(2))/(7873)

Tangent is drawn at any point (x_1,y_1) on the parabola y^2=4ax . Now tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass throught a fixed point (x_2,y_2) Prove that 4(x_1/x_2)+(y_1/y_2)^2=0 .