Waec Model Questions Vol2 2025 Mathematics Question 42

Practice objective / multiple choice question 42 from the 2025 Waec Model Questions Vol2 Mathematics examination.

Waec Model Questions Vol2 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 42 WAEC_MODEL_QUESTIONS_VOL2 • 2025 • MATHEMATICS • objective

Points \(A(2,3)\) and \(B(5, k)\) are such that the line \(AB\) is perpendicular to the line through point \(C(8,-1)\) with slope \(2\). Determine the value of \(k\) and then find the perpendicular distance from the origin to the line \(AB\). Give your answer for the distance in simplest radical form.

Answer Options

Correct Answer A. \(k = \(3/2\)\), \(distance = 8\)\sqrt{5}/5
B. \(k = 2\)/3, \(distance = 8\)\\(\sqrt{6}\)/5
C. \(k = 5\)/2, \(distance = 8\)\\(\sqrt{5}\)/5
D. \(k = 3\)/2, \(distance = 6\)\\(\sqrt{5}\)/5
Correct Answer
A
Correct Option:
\(k = \(3/2\)\), \(distance = 8\)\sqrt{5}/5

About This Question

This is Waec Model Questions Vol2 2025 Mathematics Question 42. It is one of the objective questions from the 2025 Waec Model Questions Vol2 Mathematics examination.

Difficulty level: Hard .

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