The chord along the line `y-x=3` of the circle `x^2 + y^2 = k^2`, subtends an angle of `30^0` in the major segment of the circle cut off by the chord. Find `k`.

If the chord y=mx+1 of the circles x^(2)+y^(2)=1 subtends an angle of 45^(@) at the major segment of the circle,then the value of m is 2 (b) -2(c)-1 (d) none of these

x-y+b=0 is a chord of the circle x^2 + y^2 = a^2 subtending an angle 60^0 in the major segment of the circle. Statement 1 : b/a = +- sqrt(2) . Statement 2 : The angle subtended by a chord of a circle at the centre is twice the angle subtended by it at any point on the circumference. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

The locus of the midpoint of the chord of the circle x^2 + y^2 =4 which subtends a right angle at the origin is?

Find the locus of the mid-point of the chords of the circle x^2 + y^2 + 2gx+2fy+c=0 which subtend an angle of 120^0 at the centre of the circle.

The locus of the midpoint of chord of the circle x^(2)+y^(2)=1 which subtends a right angle at the origin is

The locus of the mid point of a chord of the circle x^(2)+y^(2)=4 which subtends a right angle at the origin is

The locus of the mid points of a chord the circle x^(2)+y^(2)=18 which subtends right angle at the origin is