Igcse Model Questions Vol1 2021 Mathematics Question 9

Practice objective / multiple choice question 9 from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 9 IGCSE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

Points \(A(1,2)\), \(B(4,6)\) and \(C(7,2)\) form an isosceles triangle with \(AB = BC\). A circle passes through \(A\) and \(C\) and its centre lies on the line \(y = x + 1\). Find the equation of the circle and then determine the coordinates of the point where this circle meets the line through \(B\) that is perpendicular to \(AC\). Give the required point as an ordered pair.

Answer Options

A. (3, 5+3\sqrt{2})
B. (4, 5-3\sqrt{2})
Correct Answer C. (4, 5+3\sqrt{2})
D. (4, 5+2\sqrt{2})
Correct Answer
C
Correct Option:
(4, 5+3\sqrt{2})

About This Question

This is Igcse Model Questions Vol1 2021 Mathematics Question 9. It is one of the objective questions from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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