Question

(iv) Find the equation of the circle whose radius
is 6 and which is concentric with the circle
x² + y² – 4x+6y–3=0.
​

Answer 1

Answer:

concentric circles have the same centres.

so just compare the given of equation of circle with the standard equation of circle. from there you will get g = -2 and f = 3.

centre for any circle is (-g, -f). so here the centre is (2, -3).

radius of the required circle is 6.

so equation of required circle is

$(x - 2) {}^{2} + {(y + 3)}^{2} = 36$