Last updated on Oct 23, 2026

Circles and Translations (HSC SSCE Mathematics Advanced): Quizzes

Circles and Translations

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10 questions from this quiz

$x^2 + y^2 = 16$

General form

$(x - 2)^2 + (y + 4)^2 = 36$

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Circles and Translations (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the centre of the circle (x−3)2+(y+5)2=16(x - 3)^2 + (y + 5)^2 = 16(x−3)2+(y+5)2=16?

What is the radius of the circle (x−1)2+(y+2)2=49(x - 1)^2 + (y + 2)^2 = 49(x−1)2+(y+2)2=49?

A circle has centre (4,−3)(4, -3)(4,−3) and radius 555. What is its domain?

A circle has centre (−2,6)(-2, 6)(−2,6) and radius 333. What is its range?

What is the equation of a circle centred at the origin with radius 444?

In (x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2(x−a)2+(y−b)2=r2, if a>0a > 0a>0, which direction has the circle moved?

Which form is x2+y2+6x−8y+5=0x^2 + y^2 + 6x - 8y + 5 = 0x2+y2+6x−8y+5=0?

To complete the square for x2+10xx^2 + 10xx2+10x, what value should be added?

A circle has centre (2,−4)(2, -4)(2,−4) and radius 666. What is its equation?

In (x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2(x−a)2+(y−b)2=r2, if b<0b < 0b<0, which direction has the circle moved?

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Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

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Trigonometry

Trigonometric Identities and Equations

Probability

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Introduction to Rates of Change

The Derivative

Exponential Functions

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Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

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Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What is the centre of the circle $(x - 3)^2 + (y + 5)^2 = 16$ ?

What is the radius of the circle $(x - 1)^2 + (y + 2)^2 = 49$ ?

A circle has centre $(4, -3)$ and radius $5$ . What is its domain?

A circle has centre $(-2, 6)$ and radius $3$ . What is its range?

What is the equation of a circle centred at the origin with radius $4$ ?

In $(x - a)^2 + (y - b)^2 = r^2$ , if $a > 0$ , which direction has the circle moved?

Which form is $x^2 + y^2 + 6x - 8y + 5 = 0$ ?

To complete the square for $x^2 + 10x$ , what value should be added?

A circle has centre $(2, -4)$ and radius $6$ . What is its equation?

In $(x - a)^2 + (y - b)^2 = r^2$ , if $b < 0$ , which direction has the circle moved?