Neco 2021 Mathematics Question 12

Practice essay / theory question 12 from the 2021 Neco Mathematics examination. This question covers coordinate geometry, trigonometry, mensuration .

Neco 2021 Mathematics Essay / Theory

Topics: coordinate geometry trigonometry mensuration

Question 12 NECO • 2021 • MATHEMATICS • essay

In the diagram, triangle \(ABC\) is shown. Vertex \(A\) is at the origin \((0,0)\) and side \(AB\) lies along the positive x‑axis. The length \(AB = 12\) cm, \(\angle A = 40^{\circ}\) and \(\angle B = 70^{\circ}\). Point \(D\) lies on \(BC\) such that \(BD:DC = 1:2\).

Question Parts

( a )

Determine the coordinates of point \(C\).

( b )

Find the equation of the line \(AC\) in the form \(y = mx\).

( c )

Calculate the area of triangle \(ABC\) in square centimetres, giving your answer to one decimal place.

( d )

Point \(D\) divides \(BC\) internally in the ratio \(1:2\).

( ) Find the coordinates of \(D\).

( ) Determine the length of \(AD\).

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About This Question

This is Neco 2021 Mathematics Question 12. It is one of the essay questions from the 2021 Neco Mathematics examination.

The question covers coordinate geometry, trigonometry, mensuration .

View More Neco 2021 Mathematics Questions More Neco Practice Questions Back to Questions

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