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SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Rajah 1 menunjukkan kedudukan sebuah perpustakaan dan rumah bagi tiga orang murid, Farah, Danial dan Wira, yang dilukis pada suatu satah Cartes. Rumah Farah berada di $(9, 7)$, rumah Danial berada di $(3, 3)$ dan rumah Wira berada di $(11, -9)$. Sebuah kereta bergerak di sepanjang jalan raya $PQ$ dengan keadaan ia sentiasa berada pada jarak yang sama dari rumah Danial dan dari rumah Wira. Cari persamaan lintasan kereta itu. Berikan jawapan anda dalam bentuk $ax + by + c = 0$, dengan keadaan $a$, $b$ dan $c$ ialah integer dan $a > 0$.

English
Diagram 1 shows the positions of a library and the houses of three pupils, Farah, Danial and Wira, drawn on a Cartesian plane. Farah's house is at $(9, 7)$, Danial's house is at $(3, 3)$ and Wira's house is at $(11, -9)$. A car travels along the road $PQ$ in such a way that it is always the same distance from Danial's house as it is from Wira's house. Find the equation of the path of the car. Give your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers and $a > 0$.
xyOPQFarah (9, 7)Danial (3, 3)LibraryWira (11, -9)
[3 marks]
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Modelled on SBP trial · Kertas 1 · Q6(b)

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Modelled on SBP trial · Kertas 1 · Q6(b)

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Chapter 4
Quadratic Functions
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Chapter 8
Systems of Equations
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