Neco 2020 Further Mathematics Question 42

Practice objective / multiple choice question 42 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 42 NECO • 2020 • FURTHER_MATHEMATICS • objective

A circle has centre \( C(2,-1) \) and unknown radius \( r \). A line passes through the point \( P(5,k) \) and is tangent to the circle. The line is also perpendicular to the line joining \( C \) to the fixed point \( Q(8,3) \). If the distance \( CP \) is twice the radius, determine the value of \( k \) and write the equation of the tangent line.

Answer Options

A. k = -25 - 13\sqrt{3}; \; \text{tangent line: } y = -\frac{3}{2}x - \frac{35}{2} - 13\sqrt{3}
B. k = -25 + 13\sqrt{3}; \; \text{tangent line: } y = -\frac{3}{2}x - \frac{35}{2} + 7\sqrt{3}
Correct Answer C. k = -25 + 13\sqrt{3}; \; \text{tangent line: } y = -\frac{3}{2}x - \frac{35}{2} + 13\sqrt{3}
D. k = -25 + 7\sqrt{3}; \; \text{tangent line: } y = -\frac{3}{2}x - \frac{35}{2} + 13\sqrt{3}
Correct Answer
C
Correct Option:
k = -25 + 13\sqrt{3}; \; \text{tangent line: } y = -\frac{3}{2}x - \frac{35}{2} + 13\sqrt{3}

About This Question

This is Neco 2020 Further Mathematics Question 42. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Medium .

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