Neco 2023 Mathematics Question 39

Practice objective / multiple choice question 39 from the 2023 Neco Mathematics examination.

Neco 2023 Mathematics Objective / Multiple Choice Medium Difficulty
Question 39 NECO • 2023 • MATHEMATICS • objective

The lines \(2x - y + 3 = 0\) and \(x + 2y - 5 = 0\) intersect at point \(P\). A line passes through \(P\), is perpendicular to the line joining the points \((1,2)\) and \((4,k)\), and meets the x‑axis at a point \(Q\) with integer x‑coordinate. Determine the value of \(k\) and the coordinates of \(Q\).

Answer Options

A. k = 7; Q = (5,0)
B. k = 8; Q = (4,0)
C. k = 9; Q = (6,0)
Correct Answer D. k = 8; Q = (5,0)
Correct Answer
D
Correct Option:
k = 8; Q = (5,0)

About This Question

This is Neco 2023 Mathematics Question 39. It is one of the objective questions from the 2023 Neco Mathematics examination.

Difficulty level: Medium .

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