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Year 10 Maths - 10 Parabolas and Other Graphs

Graphs of Hyperbolas

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Question 1
43378

Find the coordinates of the point where \(y=\dfrac{1}{x}\) intersects the lines

i) \(y=4\)
ii) \(x=-2\)

Part a:
A.
\(\left(\tfrac{1}{4},\ -4\right)\)
B.
\(\left(-\tfrac{1}{4},\ 4\right)\)
C.
\(\left(4,\ \tfrac{1}{4}\right)\)
D.
\(\left(\tfrac{1}{4},\ 4\right)\)
Correct
Part b:
A.
\(\left(-\tfrac{1}{2},\ -2\right)\)
B.
\(\left(-2,\ -\tfrac{1}{2}\right)\)
Correct
C.
\(\left(2,\ -\tfrac{1}{2}\right)\)
D.
\(\left(-2,\ \tfrac{1}{2}\right)\)

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