Tangents are drawn to the concentric circles `x^2+y^2=a^2` and `x^2 +y^2=b^2` at right angle to one another Show that the locus of their point of intersection is a 3rd concentric circle. Find its radius

A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2dot Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2dot Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2dot Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

A tangent is drawn to each of the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2). Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

If tangents are drawn to the circle x^2 +y^2=12 at the points where it intersects the circle x^2+y^2-5x+3y-2=0 , then the coordinates of the point of intersection of those tangents are

Tangents are drawn to the circle x^(2)+y^(2)=a^(2) from two points on the axis of x ,equidistant from the point (k,0). show that the locus of their intersection is ky^(2)=a^(2)(k-x)

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

Tangents are drawn to circle x^(2) + y^(2) =12 at its points of intersection with the circle x^(2) +y^(2) - 5x +3y -2=0 then coordinates of their point of intersection is

If from a variable point P(-2+2cos theta, 3+2 sin theta), theta in R tangents are drawn to the circle S:x^2+y^2+ 4x -6y+11=0, then as theta varies locus of mid point of corresponding chords of contact will be (1) Line x=3 (2) Circle concentric with circle S of radius 1 unit (3) Line y=3 (4) Circle concentric with circle S of radius 2units.

Find the locus of the point of intersections of perpendicular tangents to the circle x^(2) +y^(2) =a^(2)