2024 BTYSS P1 Q20

2024 BTYSS P1 Q20

Secondary 4
5 marks
  1. The coordinates of points \(A\), \(B\) and \(C\) are \((4,3)\), \((1,-3)\) and \((-2,-10)\) respectively.
    Do points \(A\), \(B\) and \(C\) lie on the same straight line? Explain your answer.[2]
  2. The sketch shows a quadratic curve of \(y=(x+5)(3-x)\).
    \(P\) is the point on the \(x\)-axis and \(Q\) is the point on the \(y\)-axis.
    1. Write down the coordinates of \(P\) and of \(Q\).[2]
    2. State the equation of the line of symmetry of the graph.[1]

Solution:

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Answer:(a) No; the gradients are \(2\) and \(\dfrac{7}{3}\). (b)(i) \(P=(-5,0),\ Q=(0,15)\) (ii) \(x=-1\)

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