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 < r < 8` (C) `r < 2` (D) `r=2`

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersect at two points then (a) 1ltrlt11 (b) r=11 (c) rgt11 (d) 0ltrlt1

The circle x^(2) + y^(2) = 4 x + 8 y + 5 intersects the line 3x -4y =m at two distinct points if

Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect.

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

The circle with equation x^2 +y^2 = 1 intersects the line y= 7x+5 at two distinct points A and B. Let C be the point at which the positive x-axis intersects the circle. The angle ACB is

The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the points A and B Equation of the circle with AB as its diameter is

Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1 : Both the circles intersect each other at two distinct points. Statement 2 : The sum of radii of the two circles is greater than the distance between their centers.

If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^2+y^2+2muy-1=0 is 2sqrt(6) , then the values of mu are (a) +-2 (b) +-3 (c) +-4 (d) none of these