Mathematics, 27.04.2021 17:30, TombRaider167

7. The diagram below shows two congruent circles which touch at a single point T.
The circle, centre A, has as its equation x² + y2 - 6x -18y +45 = 0.
The line with equation 2y = x is the common tangent to the two circles through T.
x2 + y2 - 6x-18y+45 = 0
ophon
2y=x
ci
T
O
х
B
(a)
Show algebraically that T has coordinates (6,3).
(b)
Hence establish the the coordinates of B, the centre of the lower circle, and
find the equation of this circle.

7.

The diagram below shows two congruent circles which touch at a single point T.The circle, cent

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7. The diagram below shows two congruent circles which touch at a single point T.
The circle,...