Find the equation of the circle in which the chord joining the points `(a,b) and (b, - a)` subtends an angle of `45^@` at any point on the circumference of the circle.

An equation chord joining the points (1,2) and (2,-1) subtends an angle of pi//4 at any point on the circumference is

The locus of the centre of the circle in which the chord joining the points (1,2) and (2,-1) subtends an anglt (pi)/(4) at any point on the circumference is

If the chord joining the points (1,-3),(-3,1) subtends a right angle at the centre of the circle,then equation of the circle is

A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65^(@) at any point C on the circumference of the circle. If P is the point of intersection for the two lines, then the measure of angle APO is :

The line segment joining any two points on the circumference of circle is :

The locus of the mid-points of the chords of the circle of lines radis r which subtend an angle (pi)/(4) at any point on the circumference of the circle is a concentric circle with radius equal to

The locus of the mid-points of the chords of the circle of lines radiùs r which subtend an angle pi/4 at any point on the circumference of the circle is a concentric circle with radius equal to

The locus of the mid-points of the chords of the circle of lines radiùs r which subtend an angle pi/4 at any point on the circumference of the circle is a concentric circle with radius equal to (a) (r)/(2) (b) (2r)/(3) (c) (r )/(sqrt(2)) (d) (r )/(sqrt(3))