The coordinates of the points $A$ and $B$ are $(-1,-2)$ and $(7,4)$ respectively. Find the equation of the circle which is the reflection of circle $$$C$$$ in the line $$$T$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_11 Year：2020 Question No：10(c)

Answer:

$B$ is centre of line joining centres $\rightarrow(11,7)$
Radius $=5$
New equation is $(x-11)^{2}+(y-7)^{2}=25$
(FT on coordinates of B)

Knowledge points:

1.3.2 interpret and use any of the forms in solving problems (Including calculations of distances, gradients, midpoints, points of intersection and use of the relationship between the gradients of parallel and perpendicular lines.)

1.3.3 understand that the equation represents the circle with centre and radius (Including use of the expanded form.)

Answer:

Knowledge points:

Solution:

Related Question