Neco 2025 Further Mathematics Question 13

Practice objective / multiple choice question 13 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 13 NECO • 2025 • FURTHER_MATHEMATICS • objective

A circle passes through the points \(A(2,3)\) and \(B(8,7)\) and its centre lies on the line \(2x-y=1\). Determine the centre and the radius of the circle.

A. \(\text{Centre }\left(\frac{27}{7},\frac{47}{7}\right),\;\text{radius }\frac{12\sqrt5}{7}\)

B. \(\text{Centre }\left(\frac{26}{7},\frac{48}{7}\right),\;\text{radius }\frac{13\sqrt5}{7}\)

C. \(\text{Centre }\left(\frac{47}{7},\frac{27}{7}\right),\;\text{radius }\frac{13\sqrt5}{7}\)

Correct Answer D. \(\text{Centre }\left(\frac{27}{7},\frac{47}{7}\right),\;\text{radius }\frac{13\sqrt5}{7}\)

Correct Answer

Correct Option:

\(\text{Centre }\left(\frac{27}{7},\frac{47}{7}\right),\;\text{radius }\frac{13\sqrt5}{7}\)

This is Neco 2025 Further Mathematics Question 13. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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