Igcse Model Questions Vol1 2020 Mathematics Question 25

Practice objective / multiple choice question 25 from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Medium Difficulty
Question 25 IGCSE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

The lines \(2x - y + 3 = 0\) and \(x + 2y - 5 = 0\) intersect at point \(P\). The line through \(P\) is required to be perpendicular to the line joining \(A(1,2)\) and \(B(4,6)\). Find the equation of this perpendicular line in the form \(ax + by + c = 0\) with integer coefficients, and then determine the distance from the origin to this line.

Answer Options

A. 15x+20y+49=0; distance = \dfrac{49}{25}
Correct Answer B. 15x+20y-49=0; distance = \dfrac{49}{25}
C. 12x+16y-49=0; distance = \dfrac{49}{20}
D. 15x+20y-45=0; distance = \dfrac{45}{25}
Correct Answer
B
Correct Option:
15x+20y-49=0; distance = \dfrac{49}{25}

About This Question

This is Igcse Model Questions Vol1 2020 Mathematics Question 25. It is one of the objective questions from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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