Neco 2024 Further Mathematics Question 41

Practice objective / multiple choice question 41 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 41 NECO • 2024 • FURTHER_MATHEMATICS • objective

A circle with centre \(C(2,-1)\) and radius \(5\) is given. A point \(P(10,3)\) lies outside the circle. Find the equation of the tangent line to the circle that passes through \(P\) and has positive slope, and give the coordinates of the point of tangency (to two decimal places).

Answer Options

A. Equation: \(y-3 = \frac{32-5\sqrt{55}}{39}(x-10)\); Tangency point: \((8.12, -0.23)\)
Correct Answer B. Equation: \(y-3 = \frac{32+5\sqrt{55}}{39}(x-10)\); Tangency point: \((6.35, -3.46)\)
C. Equation: \(y-3 = \frac{30+5\sqrt{55}}{39}(x-10)\); Tangency point: \((5.90, -3.80)\)
D. Equation: \(y-3 = \frac{32+5\sqrt{55}}{39}(x-10)\); Tangency point: \((6.40, -3.50)\)
Correct Answer
B
Correct Option:
Equation: \(y-3 = \frac{32+5\sqrt{55}}{39}(x-10)\); Tangency point: \((6.35, -3.46)\)

About This Question

This is Neco 2024 Further Mathematics Question 41. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Medium .

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