Gce Model Questions Vol1 2025 Mathematics Question 46

Practice objective / multiple choice question 46 from the 2025 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 46 GCE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

Points A(2,3) and B(8,7) are vertices of a triangle ABC. The centroid of the triangle lies on the line \(y = x\). If the triangle is right‑angled at C, find the possible coordinates of point C.

Answer Options

Correct Answer A. (5 \pm \frac{\sqrt{26}}{2},\;5 \pm \frac{\sqrt{26}}{2})
B. (5 \pm \frac{\sqrt{26}}{3},\;5 \pm \frac{\sqrt{26}}{3})
C. (5 \pm \frac{\sqrt{26}}{2},\;5 \mp \frac{\sqrt{26}}{2})
D. (5 \pm \frac{\sqrt{30}}{2},\;5 \pm \frac{\sqrt{30}}{2})
Correct Answer
A
Correct Option:
(5 \pm \frac{\sqrt{26}}{2},\;5 \pm \frac{\sqrt{26}}{2})

About This Question

This is Gce Model Questions Vol1 2025 Mathematics Question 46. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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