Circles (VCE SSCE Mathematical Methods): Quizzes

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What is the equation of the unit circle?

x2+y2=1x^2 + y^2 = 1

What is the center of the circle (x+3)2+(y−5)2=4(x + 3)^2 + (y - 5)^2 = 4?

(−3,5)(-3, 5)

What is the radius of (x−1)2+(y−2)2=9(x - 1)^2 + (y - 2)^2 = 9?

33

What is the equation of a circle with center (2,−1)(2, -1) and radius 44?

(x−2)2+(y+1)2=16(x-2)^2 + (y+1)^2 = 16

In general form, what are the coefficients of x2x^2 and y2y^2 for a circle?

Both 1

To find yy-intercepts of a circle, what should you set?

x=0x = 0

When completing the square for x2−6xx^2 - 6x, what value do you add?

99

What does y=+4−x2y = +\sqrt{4 - x^2} represent?

Top half of x2+y2=4x^2 + y^2 = 4

What does x=−9−y2x = -\sqrt{9 - y^2} represent?

Left half of x2+y2=9x^2 + y^2 = 9

After completing square, x2+y2−6x+4y−12=0x^2 + y^2 - 6x + 4y - 12 = 0 becomes what center?

(3,−2)(3, -2)

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Explore VCE SSCE Mathematical Methods Exam Questions by Topics

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