From the origin, chords are drawn to the circle `(x-1)^2 + y^2 = 1`. The equation of the locus of the mid-points of these chords is circle with radius

The locus of the mid points of all equal chords in a circle is :

From (3,4) chords are drawn to the circle x^(2)+y^(2)-4x=0. The locus of the mid points of the chords is :

Find the locus of the mid-points of chords of constant length in a circle

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x+y=4. Then the equation to the locus of the middle point of the chord of contact is

The equation of chord with mid-point P(x_(1),y_(1)) to the circle S=0 is

From points on the circle x^2+y^2=a^2 tangents are drawn to the hyperbola x^2-y^2=a^2 . Then, the locus of mid-points of the chord of contact of tangents 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.

From points on the straight line 3x-4y+12=0, tangents are drawn to the circle x^(2)+y^(2)=4. Then,the chords of contact pass through a fixed point.The slope of the chord of the circle having this fixed point as its mid- point is

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