A. lies inside the circle

B. lies outside the circle

C. lie on the circle

D. is the centre of the circle

The polars of two points A(1, 3) and B(2, -1) w.r.to the circle x^{2}+y^{2}=9 intersect at C. Then the polar of C w.r.to the circle is

The equation of the chord of the circle x^{2}+y^{2}-4x+6y-3=0 having (1, -2) as its midpoint is

From the point A(0,3) on the circle x^{2}+4x+(y-3)^{2}=0, a chord, AB is drawn and extended to a point P, such that AP = 2AB. The locus of P is

If α,β,γ are the roots of x^{3}-x^{2}+33x+5=0 and A=s_{1},B=s_{2},C=s_{3} then the descending order of A,B,C is

If the circles x^{2}+y^{2}+2x-2y+4=0 cuts the circle x^{2}+y^{2}+4x-2fy+2=0 orthogonally, then f=