Two variable chords `A Ba n dB C` of a circle `x^2+y^2=r^2` are such that `A B=B C=r` . Find the locus of the point of intersection of tangents at `Aa n dCdot`

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a ,then locus of point of intersection of tangents at A and C is a circle of radius lambda a , where lambda is

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a . M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle. The locus of the points of intersection of tangents at A and C is

A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(2) - 2ax =0 .Locus of the point of intersection of tangens at A and B is :

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at Aa n dB . The locus of the point of intersection of tangents at Aa n dB to the circle x^2+y^2=9 is x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 y^2-x^2=((27)/7)^2 (d) none of these

A variable chord of the parabola y^(2)=8x touches the parabola y^(2)=2x. The the locus of the point of intersection of the tangent at the end of the chord is a parabola.Find its latus rectum.

If there are two points A and B on rectangular hyperbola xy=c^(2) such that abscissa of A= ordinate of B, then locusof point of intersection of tangents at A and B is (a) y^(2)-x^(2)=2c^(2)( b) y^(2)-x^(2)=(c^(2))/(2) (c) y=x( d) non of these

A variable chord PQ of the parabola y=4x^(2) subtends a right angle at the vertex. Then the locus of points of intersection of the tangents at P and Q is

if a variable tangent of the circle x^(2)+y^(2)=1 intersects the ellipse x^(2)+2y^(2)=4 at P and Q. then the locus of the points of intersection of the tangents at P and Q is

The tangents PA and PB are drawn from any point P of the circle x^(2)+y^(2)=2a^(2) to the circle x^(2)+y^(2)=a^(2) . The chord of contact AB on extending meets again the first circle at the points A' and B'. The locus of the point of intersection of tangents at A' and B' may be given as