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)=r^(2) are such that AB=BC=r Find the locus of the point of intersection of tangents at A and C.

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 :

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

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 angle between the tangents at A and C 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. /_ OAB 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 locus of the point of intersection of the two tangents drawn to the circle x^(2)+y^(2)=a^(2) which include are angle alpha is

A chord of the parabola x^(2)=4ay subtends a right angle at vertex. Locus of the point of intersection of tangents at its extremities is y+lambda a=0 then the value of lambda is

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