Gce Model Questions Vol1 2019 Mathematics Question 21

Practice objective / multiple choice question 21 from the 2019 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 21 GCE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

In the plane, points A\(2, -1\) and B\(8, k\) are given. A line L is perpendicular to AB and passes through the point P\(1, 2\). It is also given that the distance from the point Q\(4, 0\) to line AB equals the distance from Q to line L. Determine the value of k and give the equation of line L in the form \(ax + by = c\).

Answer Options

A. k = 3; the equation of L is \(x - y = 1\).
B. k = 7; the equation of L is \(2x + y = 5\).
Correct Answer C. k = 5; the equation of L is \(x + y = 3\).
D. k = 4; the equation of L is \(3x - 2y = 6\).
Correct Answer
C
Correct Option:
k = 5; the equation of L is \(x + y = 3\).

About This Question

This is Gce Model Questions Vol1 2019 Mathematics Question 21. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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