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

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 x+2y-2=0 of the curve 6x^(2)+y^(2)-8x+2y=0 subtends angle (pi)/(k) radians at the point (1,1) then the value of k is

If the common chord of the circles x^(2)+(y-2)^(2)=16 and x^(2)+y^(2)=16 subtend a angle at the origin then lambda is equal to

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a)x+3y=2 (b) x+2y=2( c) x+y=2 (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 chord of the circle x^(2)+y^(2)=1 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 lines 12 x-5y-17=0&24 x-10 y+44=0 are tangents to the same circle. Then the radius of the circle is: 1 (b) 3/2 (c) 2 (d) none of these

If a tangent of slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is normal to the circle x^(2)+y^(2)+4x+1=0, then the maximum value of ab is 4 (b) 2 (c) 1 (d) none of these

locus of the middle point of the chord which subtend theta angle at the centre of the circle S=x^(2)+y^(2)=a^(2)