Gce Model Questions Vol1 2023 Further Mathematics Question 32

Practice objective / multiple choice question 32 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 32 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

A circle has centre \(C(2,-1)\) and radius \(5\). From the external point \(P(8,3)\) two tangents are drawn to the circle, touching it at \(T_{1}\) and \(T_{2}\).\n(a) Write the equation of the chord of contact \(T_{1}T_{2}\).\n(b) Find the exact length of the chord \(T_{1}T_{2}\).

Answer Options

Correct Answer A. \dfrac{15\sqrt{39}}{13}
B. \dfrac{15\sqrt{39}}{12}
C. \dfrac{12\sqrt{39}}{13}
D. \dfrac{15\sqrt{35}}{13}
Correct Answer
A
Correct Option:
\dfrac{15\sqrt{39}}{13}

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 32. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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