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=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

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 .

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

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

If the chord y=mx+c subtends a right angle at the vertex of the parabola y^(2)=4ax thenthe value of c is

The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to :

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

A chord of a circle of radius 15cm subtends an angle of at the centre.Find the areas of the corresponding minor and major segments of the circle.

If y = mx + c is a tangent to the circle (x – 3)^2 + y^2 = 1 and also the perpendicular to the tangent to the circle x^2 + y^2 = 1 at (1/sqrt(2),1/sqrt(2)) , then