Gce Model Questions Vol1 2024 Further Mathematics Question 10

Practice objective / multiple choice question 10 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 10 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Points \(A(1,2)\), \(B(4,6)\) and \(C(5,2)\) lie in the plane.\n\n(a) Determine the equation of the circle passing through \(A\), \(B\) and \(C\) in the form \((x-h)^{2}+(y-k)^{2}=r^{2}\).\n(b) From the external point \(P(8,5)\) a tangent is drawn to this circle. Find the length of the tangent segment \(PT\).

Answer Options

A. Circle: \((x-3)^{2}+(y-\frac{27}{8})^{2}=\frac{425}{64}\). Tangent length \(PT=\frac{9}{2}\) units.
B. Circle: \((x-3)^{2}+(y-\frac{29}{8})^{2}=\frac{425}{64}\). Tangent length \(PT=\frac{5}{2}\) units.
C. Circle: \((x-3)^{2}+(y-\frac{29}{8})^{2}=\frac{441}{64}\). Tangent length \(PT=\frac{9}{2}\) units.
Correct Answer D. Circle: \((x-3)^{2}+(y-\frac{29}{8})^{2}=\frac{425}{64}\). Tangent length \(PT=\frac{9}{2}\) units.
Correct Answer
D
Correct Option:
Circle: \((x-3)^{2}+(y-\frac{29}{8})^{2}=\frac{425}{64}\). Tangent length \(PT=\frac{9}{2}\) units.

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 10. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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