Neco 2022 Mathematics Question 28

Practice objective / multiple choice question 28 from the 2022 Neco Mathematics examination.

Neco 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 28 NECO • 2022 • MATHEMATICS • objective

Points \(A(1,2)\) and \(B(7,4)\) are given. Let point \(C\) lie on the \(x\)-axis such that \(AC=BC\).\n(i) Find the coordinates of \(C\).\n(ii) Determine the equation of the circle passing through \(A, B\) and \(C\).\n(iii) Find the radius of this circle.\n(iv) Compute the distance from the origin \(O(0,0)\) to the centre of the circle.

Answer Options

A. C(6,0); (x-4)^2+(y-3)^2=12; radius \sqrt{12}; distance 5
Correct Answer B. C(5,0); (x-4)^2+(y-3)^2=10; radius \sqrt{10}; distance 5
C. C(3,0); (x-3)^2+(y-2)^2=13; radius \sqrt{13}; distance 4
D. C(5,0); (x-5)^2+(y-2)^2=10; radius \sqrt{10}; distance \sqrt{29}
Correct Answer
B
Correct Option:
C(5,0); (x-4)^2+(y-3)^2=10; radius \sqrt{10}; distance 5

About This Question

This is Neco 2022 Mathematics Question 28. It is one of the objective questions from the 2022 Neco Mathematics examination.

Difficulty level: Hard .

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