Neco Model Questions Vol1 2025 Mathematics Question 38

Practice objective / multiple choice question 38 from the 2025 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Medium Difficulty
Question 38 NECO_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

Lines \(L_{1}: 2x - y + 3 = 0\) and \(L_{2}: x + 2y - 5 = 0\) intersect at point \(P\). A line \(L_{3}\) has equation \(y = -3x + k\). Determine the value(s) of \(k\) for which the distance from the origin to \(L_{3}\) is \(5\) units, given that the line through \(P\) which is perpendicular to \(L_{3}\) exists. State all possible values of \(k\).

Answer Options

Correct Answer A. \pm5\sqrt{10}
B. \pm5\sqrt{5}
C. \pm5\sqrt{2}
D. \pm10\sqrt{10}
Correct Answer
A
Correct Option:
\pm5\sqrt{10}

About This Question

This is Neco Model Questions Vol1 2025 Mathematics Question 38. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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