Official papers

Official 2022 Paper 1 · Q2

Paper 1GeometryAlgebra

Find the complete set of values of pp for which the equation

x2−2px+y2−6y−p2+8p+9=0x^2-2px+y^2-6y-p^2+8p+9=0

describes a circle in the xyxy-plane.

Ap<−94p<-\frac94
B0<p<40<p<4
C−1<p<9-1<p<9
Dp<0p<0 or p>4p>4
Ep<−1p<-1 or p>9p>9
Fall real values of pp

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