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 y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45^@ of the major segment of the circle then value of m is -

If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45^@ of the major segment of the circle then value of m is -

If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^0 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

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 mid-points of the chords of the circle x^2+ y^2-2x-4y - 11=0 which subtends an angle of 60^@ at center is

If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find the value of kdot

If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find the value of kdot

Find the area of the smaller portion of the circle x^2+y^2=4 cut off by the line x^2=1

A chord of a circle of radius 12 cm subtends an angle of 120^@ at the centre. Find the area of the corresponding segment of the circle.