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SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Sisi empat $ABCD$ mempunyai bucu-bucu $A(2, h)$, $B(-3, 4)$, $C(k, -1)$ dan $D(7, 2)$, diambil mengikut tertib itu, dengan keadaan $h = 2k$ dan $k > 0$. Luas $ABCD$ ialah $43$ unit$^2$. Suatu titik $T(x, y)$ bergerak dengan keadaan ia sentiasa terletak pada lilitan bulatan yang berdiameter $AC$. Cari persamaan lokus bagi $T$.

English
The quadrilateral $ABCD$ has vertices $A(2, h)$, $B(-3, 4)$, $C(k, -1)$ and $D(7, 2)$, taken in that order, where $h = 2k$ and $k > 0$. The area of $ABCD$ is $43$ unit$^2$. A point $T(x, y)$ moves so that it always lies on the circumference of the circle whose diameter is $AC$. Find the equation of the locus of $T$.
[8 marks]
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Modelled on Selangor trial · Kertas 2 · Q9(b)

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Modelled on Selangor trial · Kertas 2 · Q9(b)

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Chapter 4
Quadratic Functions
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Chapter 8
Systems of Equations
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