Find the condition that the circle `(x-3)^2+(y-4)^2=r^2` lies entirely within the circle `x^2+y^2=R^2` .

Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the circle x^(2)+y^(2)-x-30=0

The circle (x-4)^(2) + (y-3)^(2) = 9 -

If the circle x^2+y^2+2a_1x+c=0 lies completely inside the circle x^2+y^2+2a_2x+c=0 then

The circle (x+2)^(2) + (y-3)^(2) = 4 touches -

The pole of a straight line with respect to the circle x^2+y^2=a^2 lies on the circle x^2+y^2=9a^2 . If the straight line touches the circle x^2+y^2=r^2 , then :

Equation of the circles concentric with the circle x^(2)+y^(2)-2x-4y=0 and touching the circle x^(2)+y^(2)+ 2x=1 must be-

Find the area enclosed by the circle x^(2) + y^(2) = a^(2) .

A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric circle C at two points Pa n dQ . The tangents to the circle X at Pa n dQ meet at a point on the circle x^2+y^2=b^2dot Then the equation of the circle is (a) x^2+y^2=a b (b) x^2+y^2=(a-b)^2 (c) x^2+y^2=(a+b)^2 (d) x^2+y^2=a^2+b^2

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.