Neco 2023 Further Mathematics Question 1

Practice objective / multiple choice question 1 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 1 NECO • 2023 • FURTHER_MATHEMATICS • objective

Find the equation of the straight line that passes through the point \(P(8,1)\) and is tangent to the circle \((x-3)^{2}+(y+2)^{2}=25\). Then determine the coordinates of the point of tangency.

Correct Answer A. The tangent line is \(8x+15y=79\) and the point of tangency is \(\left(\frac{1547}{289},\frac{697}{289}\right)\).

B. The tangent line is \(8x-15y=79\) and the point of tangency is \(\left(\frac{1547}{289},-\frac{697}{289}\right)\).

C. The tangent line is \(8x+15y=80\) and the point of tangency is \(\left(\frac{1547}{289},\frac{698}{289}\right)\).

D. The tangent line is \(8x+15y=78\) and the point of tangency is \(\left(\frac{1546}{289},\frac{697}{289}\right)\).

Correct Answer

Correct Option:

The tangent line is \(8x+15y=79\) and the point of tangency is \(\left(\frac{1547}{289},\frac{697}{289}\right)\).

This is Neco 2023 Further Mathematics Question 1. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Medium .

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