CAIE P1 2020 Specimen — Question 10

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2020
SessionSpecimen
TopicCircles

10 Th circle \(x ^ { 2 } + y ^ { 2 } + 4 x - 2 y - \quad\) Ch s cen re \(C\) a¢ sses the id s \(A\) ad \(B\).
  1. State th co ida tesg \(C\). It is \(\dot { \mathbf { g } } \dot { \mathrm { n } }\) the t th mid oin, \(D , 6 \quad A B \mathbf { h }\) s co \(\dot { \mathrm { d } } \mathbf { a }\) tes \(\left( 1 \frac { 1 } { 2 } , 1 \frac { 1 } { 2 } \right)\).
  2. Fid eq tin \(A B , \dot { \mathrm {~g} } \dot { \mathrm { v } }\) as wer in th fo \(\mathrm { m } y = m x + c\).
  3. Fidy calch atitil b \(x\)-co dia tes \(6 A\) ad \(B\).