Gce Model Questions Vol1 2024 Mathematics Question 20
Practice objective / multiple choice question 20 from the 2024 Gce Model Questions Vol1 Mathematics examination.
The set of points \(P(x,y)\) satisfies \(PA^{2}+PB^{2}=2\,d^{2}\), where \(A(1,2)\) and \(B(4,6)\) and \(d\) is the perpendicular distance from \(P\) to the line \(2x-y+3=0\). (i) Derive the Cartesian equation of the locus. (ii) Find the coordinates of the point on this locus that is nearest to the origin, giving your answer correct to two decimal places.
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This is Gce Model Questions Vol1 2024 Mathematics Question 20. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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