Neco Model Questions Vol1 2018 Mathematics Question 15

Practice objective / multiple choice question 15 from the 2018 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Hard Difficulty
Question 15 NECO_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

Points \(A(1,2)\) and \(B(5,k)\) are the endpoints of a diameter of a circle. The circle also passes through point \(C(3,4)\). (i) Determine the value of \(k\). (ii) Write the equation of the circle in standard form. (iii) Find the area of triangle \(ABC\). Give your answer as a decimal to one place.

Answer Options

A. k = 0; equation: (x-3)^2 + (y-1)^2 = 5; area = 6.0
Correct Answer B. k = 2; equation: (x-3)^2 + (y-2)^2 = 4; area = 4.0
C. k = 2; equation: (x-3)^2 + (y-2)^2 = 9; area = 5.0
D. k = 6; equation: (x-3)^2 + (y-4)^2 = 8; area = 0.0
Correct Answer
B
Correct Option:
k = 2; equation: (x-3)^2 + (y-2)^2 = 4; area = 4.0

About This Question

This is Neco Model Questions Vol1 2018 Mathematics Question 15. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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