If the line `a x+b y=2` is a normal to the circle `x^2+y^2-4x-4y=0` and a tangent to the circle `x^2+y^2=1` , then a and b are

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

If the chord of contact of tangents from a point on the circle x^(2) + y^(2) = a^(2) to the circle x^(2)+ y^(2)= b^(2) touches the circle x^(2) + y^(2) = c^(2) , then a, b, c are in-

The normal to-be circle x^2 +y^2 - 4x + 6y -12=0 passes through the point

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

How many tangents to the circle x^2 + y^2 = 3 are normal to the ellipse x^2/9+y^2/4=1?

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-

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at A and B . The locus of the point of intersection of tangents at A and B to the circle x^2+y^2=9 is (a) x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 (c) y^2-x^2=((27)/7)^2 (d) none of these

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find where the normal to the circle x^(2)+y^(2)-4x+6y+9=0 is parallel to x-axis.

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 :