If The Lines 3x – 4y – 7 = 0 And 2x – 3y – 5 = 0 Are Two Diameters Of A Circle Of Area 49π Square Units, Then The Equation Of The Circle Is:

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

The length of the longest ray drawn from the point (4, 3) to the circle x²+ y² + 16x + 18y + 1 = 0 is equal to

1:- The chords in which the circle C cuts the members of the family S of circles through A and B are con-current at  

2:- Equations of the member of the family S which bisects the circumference of C is

3:- If O is the origin and P is the centre of C, then the difference of the squares of the lengths of the tangents from A and B to the circle C is equal to

If the two (x – 1)² + (y – 3)² = r² and x² + y² – 8x + 2y + 8 = 0 intersect in two distinct points, then

The distance between the chords of contact of the tangent to the circle x² + y² + 2gx + 2fy + c = 0 from the origin and the point (g, f) is

The angle between the tangents drawn from the origin to the circle (x – 7)² + (y + 1)² = 25 is

A square is inscribed in the circle x² + y² – 2x + 4y + 3 = 0. Its sides are parallel to the co-ordinates axes. Then one vertex of the square is

A variable circle passes through a fixed point A(p, q) and touches the x-axis. The locus of the other end of the diameter through A is: