SPM 2019 Add Maths Paper 1, Question 13Coordinate Geometry

Solved on video in English and Bahasa Melayu · 3 marks · Form 4, Coordinate Geometry · 4:49 video

The question

It is given that A(1, 3) and B(4, 7) lie on a Cartesian plane. (a) State the distance AB. (b) The straight line AB is extended to point C such that its distance from point B is twice the distance AB. Find the coordinates of C.

[3 marks]

SPM 2019 Add Maths Paper 1, Question 13: the question as drawn in Eduly's video4:49

Step 1

AB = sqrt[(4-1)²+(7-3)²] = sqrt(3²+4² = sqrt(9+16) = sqrt(25) = 5.

4 more steps, each with the reason for it, in the full solution

Final answer

(a) AB = 5 units; (b) C = (10, 15)

Where students lose marks

Watch out: keep the ratio in the order A to C, so AB:BC = 1:2. A swapped ratio gives the wrong C.

Watch every step of this question solved on video (4:49), with the reason behind each step and a box that checks your own answer.

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