Find the centre and radius of the circle with the equation
Circles and Parabolas, SMB-018
- Find the centre and radius of the circle with the equation
-
(2 marks)
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- Sketch the circle on the graph below. (1 mark)
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a.
b.
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| a. | ||
b.
Circles and Hyperbolas, SMB-017
- Find the centre and radius of the circle with the equation
-
(2 marks)
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- Sketch the circle on the graph below. (1 mark)
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a.
b.
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| a. | ||
b.
Circles and Hyperbolas, SMB-016
Find the centre and radius of the circle with the equation
Circles and Hyperbola, SMB-015
Find the centre and radius of the circle with the equation
Circles and Hyperbolas, SMB-014
- Find the centre and radius of the circle with the equation
-
(2 marks)
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- Sketch the circle on the graph below. (1 mark)
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a.
b.
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| a. | ||
b.
Circles and Hyperbolas, SMB-013
- Write down the equation of the circle with centre
and radius 2. (1 mark)
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- On the graph, sketch the circle in part (a). (2 marks)
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a.
b.
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a.
b.
Circles and Hyperbolas, SMB-012
Write down the equation of the circle with centre
Circles and Hyperbolas, SMB-011
Find the centre and radius of the circle with the equation
Circles and Hyperbolas, SMB-010 MC
A circle with centre
The values of
- −3 and 38
- 3 and 12
- −3 and −8
- 3 and 18
Circles and Hyperbolas, SMB-009
Sketch the graph of
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Circles and Hyperbolas, SMB-008
Sketch the graph of
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Circles and Hyperbolas, SMB-007
Sketch the graph of
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Circles and Hyperbolas, SMB-006
Sketch the graph of
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Circles and Hyperbolas, SMB-005
Sketch the graph of
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COMMENT: Manipulation of the equation (as shown) makes graphing much easier.
Circles and Hyperbolas, SMB-004
- List all asymptotes of the graph
. (2 marks)
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- Hence, sketch the graph of
. (2 marks)
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i.
ii.
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i.
ii.
Circles and Hyperbolas, SMB-003
Sketch the graph of
Clearly mark all asymptotes. (3 marks)
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Circles and Hyperbola, SMB-002
Sketch the graph of
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Circles and Hyperbola, SMB-001
Algebra, STD2 A4 2022 HSC 24
A student believes that the time it takes for an ice cube to melt (
- Find the equation relating
and . (2 marks)
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- By first completing this table of values, graph the relationship between temperature and time from
to (2 marks)
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b.
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♦♦ Mean mark part (a) 29%.
b.
♦ Mean mark 44%.
Functions, 2ADV F2 2021 HSC 19
Without using calculus, sketch the graph of
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Functions, 2ADV F1 2020 HSC 24
The circle of
Sketch the reflected circle, showing the coordinates of the centre and the radius. (3 marks)
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♦ Mean mark 48%.
Functions, 2ADV F1 2016 HSC 11a
Sketch the graph of
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Algebra, STD2 A4 2014 HSC 29a
The cost of hiring an open space for a music festival is $120 000. The cost will be shared equally by the people attending the festival, so that
- Complete the table below by filling in the THREE missing values. (1 mark)
- Using the values from the table, draw the graph showing the relationship between
and . (2 marks)
- What equation represents the relationship between
and ? (1 mark)
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- Give ONE limitation of this equation in relation to this context. (1 mark)
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- Is it possible for the cost per person to be $94? Support your answer with appropriate calculations. (1 mark)
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i.
| ii. |  |
iii.
iv.
v.
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i.
| ii. | |
♦ Mean mark (iii) 48%
iii.
♦♦♦ Mean mark (iv) 7%
COMMENT: When asked for limitations of an equation, look carefully at potential restrictions with respect to both the domain and range.
COMMENT: When asked for limitations of an equation, look carefully at potential restrictions with respect to both the domain and range.
iv.
v.
♦ Mean mark (v) 38%
Functions, 2ADV F1 2010 HSC 1c
Write down the equation of the circle with centre