Neco 2023 Further Mathematics Question 2

Practice objective / multiple choice question 2 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 2 NECO • 2023 • FURTHER_MATHEMATICS • objective

The centre of a circle lies on the line \(x - y = 2\) and the circle passes through the points \(A(1,2)\) and \(B(5,6)\). Find the equation of the circle and its radius.

A. The circle is \((x-\frac{9}{2})^{2}+(y-\frac{5}{2})^{2}=\frac{25}{2}\) and its radius is \(\frac{5\sqrt{5}}{2}\).

Correct Answer B. The circle is \((x-\frac{9}{2})^{2}+(y-\frac{5}{2})^{2}=\frac{25}{2}\) and its radius is \(\frac{5\sqrt{2}}{2}\).

C. The circle is \((x-\frac{7}{2})^{2}+(y-\frac{3}{2})^{2}=\frac{25}{2}\) and its radius is \(\frac{5\sqrt{2}}{2}\).

D. The circle is \((x-\frac{9}{2})^{2}+(y-\frac{5}{2})^{2}=\frac{25}{4}\) and its radius is \(\frac{5}{2}\).

Correct Answer

Correct Option:

The circle is \((x-\frac{9}{2})^{2}+(y-\frac{5}{2})^{2}=\frac{25}{2}\) and its radius is \(\frac{5\sqrt{2}}{2}\).

This is Neco 2023 Further Mathematics Question 2. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Medium .

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