Neco 2018 Mathematics Question 45

Practice objective / multiple choice question 45 from the 2018 Neco Mathematics examination.

Neco 2018 Mathematics Objective / Multiple Choice Medium Difficulty
Question 45 NECO • 2018 • MATHEMATICS • objective

The diagram shows a circle centered at the origin with radius 5 and a line \( L \) that passes through point \( P(3,1) \) and meets the circle at points \( A \) and \( B \). The midpoint of chord \( AB \) is \( M(1,2) \). Using this information, determine the equation of line \( L \) and the coordinates of points \( A \) and \( B \).

Answer Options

Correct Answer A. Equation: y = -\frac{1}{2}x + \frac{5}{2}; A(5,0), B(-3,4)
B. Equation: y = -\\frac{1}{2}x - \\frac{5}{2}; A(5,0), B(-3,4)
C. Equation: y = \\frac{1}{2}x + \\frac{5}{2}; A(5,0), B(-3,4)
D. Equation: y = -\\frac{1}{2}x + \\frac{5}{2}; A(-5,0), B(3,-4)
Correct Answer
A
Correct Option:
Equation: y = -\frac{1}{2}x + \frac{5}{2}; A(5,0), B(-3,4)

About This Question

This is Neco 2018 Mathematics Question 45. It is one of the objective questions from the 2018 Neco Mathematics examination.

Difficulty level: Medium .

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