Neco 2022 Further Mathematics Question 46

Practice objective / multiple choice question 46 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 46 NECO • 2022 • FURTHER_MATHEMATICS • objective

A circle has centre \(C(2,-1)\) and radius \(5\). A line through the point \(P(8,3)\) is tangent to the circle. (i) Find the equation of the tangent line that has a positive gradient. (ii) Let \(T\) be the point of tangency; determine the length of the segment \(PT\).

Answer Options

A. Equation: \\(y=\\frac{24+15\\sqrt{3}}{11}(x-8)+3\\); Length \\(PT = 5\\sqrt{3}\\)
B. Equation: \\(y=\\frac{24+15\\sqrt{3}}{13}(x-8)+3\\); Length \\(PT = 3\\sqrt{5}\\)
C. Equation: \\(y=\\frac{24-15\\sqrt{3}}{11}(x-8)+3\\); Length \\(PT = 3\\sqrt{3}\\)
Correct Answer D. Equation: \(y=\frac{24+15\sqrt{3}}{11}(x-8)+3\); Length \(PT = 3\sqrt{3}\)
Correct Answer
D
Correct Option:
Equation: \(y=\frac{24+15\sqrt{3}}{11}(x-8)+3\); Length \(PT = 3\sqrt{3}\)

About This Question

This is Neco 2022 Further Mathematics Question 46. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Medium .

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