Given that the two curves `a r g(z)=pi/6a n d|z-2sqrt(3)i|=r` intersect in two distinct points, then `[r]!=2` b. `0

The least value of p for which the two curves argz=(pi)/(6) and |z-2sqrt(3)i|=p intersect is

The two circles x^(2)+y^(2)=r^(2) and x^(2)+y^(2)-10x+16=0 intersect at two distinct points.Then

If the two circles (x+1)^(2)+(y-3)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct point,then (A)r>2(B)2

Statement-1:If the line y=x+c intersects the circle x^2+y^2=r^2 in two real distinct points then -rsqrt2 lt c lt r sqrt2 Statement -2: If two circles intersects at two distinct points then C_1C_2 lt r_1+r_2

Two circles with centres at C_(1) , C_(2) and having radii r_(1) , r_(2) will intersect each in two real distinct points if , and only if :

Statement I Circles x^(2)+y^(2)=4andx^(2)+y^(2)-6x+5=0 intersect each other at two distinct points Statement II Circles with centres C_(1),C_(2) and radii r_(1),r_(2) intersect at two distinct points if |C_(1)C_(2)|ltr_(1)+r_(2)

The number of integral values of r for which the circle (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect at two distinct points is ____

Let A(z_(1)) be the point of intersection of curves arg(z-2+i)=(3 pi)/(4)) and arg(z+i sqrt(3))=(pi)/(3),B(z_(2)) be the point on the curve ar g(z+i sqrt(3))=(pi)/(3) such that |z_(2)-5|=3 is minimum and C(z_(2)) be the centre of circle |z-5|=3. The area of triangle ABC is equal to