Home
Class 12
MATHS
Prove that the circles x^2 + y^2 - 6x - ...

Prove that the circles `x^2 + y^2 - 6x - 6y + 9 = 0` and `x^2 + y^2 + 6x + 6y + 9 = 0` are such that (A) they do not intersect. (B) their exterior common tangents are parallel (C) their interior common tangents are perpendicular.

Promotional Banner

Similar Questions

Explore conceptually related problems

If the circles x^(2) +y^(2) - 6x – 8y +c = 0 and x^(2) + y^(2) =9 have three common tangent then c=

Prove that the circle x^2 + y^2 -6y + 4 = 0 and the parabola y^(2) = x touch. Find the common tangent at the point of contact.

The common tangents to the circles x^2 + y^2 + 2x =0 and x^2 + y^2-6x=0 form a triangle which is

The common tangents to the circles x^2 + y^2 + 2x =0 and x^2 + y^2-6x=0 form a triangle which is

The length of common chord of the circles x^2 + y^2 - 6x - 4y + 13 - c^2 = 0 and x^2 + y^2 -4x - 6y + 13 -c^2 = 0 is