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

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

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.

chord AB of the circle x^2+y^2=100 passes through the point (7,1) and subtends are angle of 60^@ at the circumference of the circle. if m_1 and m_2 are slopes of two such chords then the value of m_1*m_2 is

If the circle x^2+y^2=1 is completely contained in the circle x^2+y^2+4x+3y+k=0 , then find the values of kdot

Find the locus of the mid point of the circle x^2+y^2=a^2 which subtend a right angle at the point (p,q)

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

The arc of a circle subtending a right angle at any point of the circle in its alternate segment is a semi-circle.