SPM 2022 Add Maths Paper 2, Question 2Coordinate Geometry

Solved on video in English and Bahasa Melayu · 2 marks · Form 4, Coordinate Geometry · 4:42 video

The question

(a)

Solution by scale drawing is not accepted. Diagram 1 shows two straight lines. The equation of the straight line RS is y + 2x + 3 = 0. The straight lines PQ and RS are perpendicular and meet at Q. The point P is (−8, −2).

(a) Find (i) the equation of the straight line PQ, (ii) the coordinates of Q.

(b)

(Continuation of Question 2, using P(−8, −2) and Q(−2, 1).)

(b) The straight line PQ is extended to a point T, such that PQ : QT = 3 : 2. Find the coordinates of T.

[2 marks]

SPM 2022 Add Maths Paper 2, Question 2: the question as drawn in Eduly's video4:42

Part (a)

Step 1

Rewrite RS: y + 2x + 3 = 0 → y = −2x − 3, so gradient of RS, m_RS = −2.

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

Final answer

(i) y = (1/2)x + 2; (ii) Q = (−2, 1)

Where students lose marks

Watch out: mind the double negatives when substituting P(−8, −2), and take care with signs when solving the simultaneous equations.

Part (b)

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

Final answer

T = (2, 3)

Watch every step of this question solved on video (4:42), with the reason behind each step and a box that checks your own answer.

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