Question

8. If x2 + y2 +2gx+2fy-12=0 represents a circle with centre (2,3) find g, f and
9. If x2 + y2 + 2gx+2fy=0 represents a circle with centre (-4,-3) then find 8, fanc
centre of the circle.
circle.
10. If x2 + y2–4x+6y+c=0 represents a circle with radius 6 then find the value of
n. Find the centre and radius of each of the circles whose equations are given below
(i) x2 + y2 - 4x – 8y-41 = 0
(i) 3x2 + 3y2 -- 5x - 6y +4=0
(ii) 3x2 + 3y2 + 6x - 12y- 1 = 0
(iv) x2 + y2 + 6x + 8y-96=0
(v) 2x2 + 2y2 - 4x + 6y – 3 = 0
(vi) 2x2 + 2y2 – 3x + 2y-1=0
vii) V1+ m2 (x2 + y2) – 2cx -- 2mcy = 0
(viii) x2 + y2 + 2ax - 2y + b2 = 0.
12. Find the equations of the circles for which the points given below are the end poi
(i) (1,2), (4,6)
(i) (-4,3), (3,-4)​

Answer 1

Answer:

10) 2x2 + 2y2 - 4x + 6y – 3 = 0

12) (-4,3), (3,-4)