Neco Model Questions Vol1 2017 Mathematics Question 28

Practice objective / multiple choice question 28 from the 2017 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 28 NECO_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

Points \(P(1,2)\), \(Q(4,k)\) and \(R(7,8)\) are the vertices of a triangle. The circumcenter of the triangle lies on the line \(y = x + 1\). Find the possible values of \(k\) and then compute the area of triangle \(PQR\).

Answer Options

A. k = 5 \pm 3\sqrt{2}; area = 8\sqrt{2}
B. k = 4 \pm 3\sqrt{2}; area = 9\sqrt{2}
Correct Answer C. k = 5 \pm 3\sqrt{2}; area = 9\sqrt{2}
D. k = 5 \pm 2\sqrt{2}; area = 9\sqrt{2}
Correct Answer
C
Correct Option:
k = 5 \pm 3\sqrt{2}; area = 9\sqrt{2}

About This Question

This is Neco Model Questions Vol1 2017 Mathematics Question 28. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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