Neco 2024 Further Mathematics Question 40

Practice objective / multiple choice question 40 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 40 NECO • 2024 • FURTHER_MATHEMATICS • objective

A circle passes through the origin \(O(0,0)\) and is tangent to the line \(y = x + 1\) at the point \(B(4,5)\). Find the centre \((h,k)\) and the radius \(r\) of the circle, and give its equation.

A. Centre \\((\\frac{49}{2},\\frac{31}{2})\\), radius \\((\\frac{41\\sqrt{2}}{2})\\)

B. Centre \\((\\frac{49}{2},-\\frac{31}{2})\\), radius \\((\\frac{39\\sqrt{2}}{2})\\)

C. Centre \\((\\frac{45}{2},-\\frac{31}{2})\\), radius \\((\\frac{41\\sqrt{2}}{2})\\)

Correct Answer D. Centre \\((\\frac{49}{2},-\\frac{31}{2})\\), radius \\((\\frac{41\\sqrt{2}}{2})\\)

Correct Answer

Correct Option:

Centre \\((\\frac{49}{2},-\\frac{31}{2})\\), radius \\((\\frac{41\\sqrt{2}}{2})\\)

This is Neco 2024 Further Mathematics Question 40. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Medium .

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