The Coordinates Of The Point On The Circle x2 + y2 – 2x – 4y – 11 = 0 Farthest From The Origin Are 

Four distinct point (1, 0), (0, 1), (0, 0) and (t, t) are concyclic for

If two circles which pass through the points (0, a) and (0, –a) cut each other orthogonally and touch the straight line 

y = mx + c, then

The coordinates of two point P and Q are (2, 3) and (3, 2) respectively. Circles are described on OP and OQ as diameters; O being the origin, then length of the common chord is

The circle x² + y² – 6x – 4y + 9 = 0 bisects the circumference of the circle x² + y² – (λ + 4)x – (λ + 2)y + (5λ + 3) = 0 if λ is equal to

The locus of the middle points of the chords of the circle of radius r which subtend an angle π/4 at any point on the circumference of the circle is a concentric circle with radius equal to

The lengths of the tangents from two points A and B to a circle are l and l’ respectively. If the points are conjugate with respect to the circle, then (AB)² is equal to

If two circles, each of radius 5 units, touch each other at (1, 2) and the equation of their common tangent is 4x + 3y = 10, then equation of the circle, a portion of which lies in all the quadrants is

A point moves such that the sum of the squares of its distances from the sides of a square of side unity is equal to 9. The locus of such a point is a circle

Radical centre of the three circles x² + y² = 9, x² + y² – 2x – 2y = 5, x² + y² + 4x + 6y = 19 lies on the line y = mx if m is equal to

A circle passes through the origin O and cuts the axis at A(a, 0) and B(0,b). The reflection of O in the line AB is the point