Gce Model Questions Vol1 2020 Further Mathematics Question 38

Practice objective / multiple choice question 38 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 38 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

A circle has centre \(C(2,-1)\) and radius \(5\). Through the external point \(P(8,3)\) two tangents can be drawn to the circle. Find the equations of both tangents and then determine the coordinates of the point of tangency on the tangent that has the smaller gradient. Express the coordinates in exact form.

Answer Options

Correct Answer A. (\frac{18161-4290\sqrt{3}}{3718},\frac{3432+6435\sqrt{3}}{3718})
B. (\\frac{18161-4290\\sqrt{3}}{3718},\\frac{3432+6435\\sqrt{3}}{3719})
C. (\\frac{18161+4290\\sqrt{3}}{3718},\\frac{3432-6435\\sqrt{3}}{3718})
D. (\\frac{18161-4290\\sqrt{5}}{3718},\\frac{3432+6435\\sqrt{3}}{3718})
Correct Answer
A
Correct Option:
(\frac{18161-4290\sqrt{3}}{3718},\frac{3432+6435\sqrt{3}}{3718})

About This Question

This is Gce Model Questions Vol1 2020 Further Mathematics Question 38. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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