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❤️ MATHS grade 11 unit 3❤️
multiple-choice questions on conic sections (circle, hyperbola, ellipse, and parabola):
1. What is the equation of a circle with center (2, -3) and radius 5?
a) (x - 2)^2 + (y + 3)^2 = 25
b) (x + 2)^2 + (y - 3)^2 = 25
c) (x - 2)^2 + (y + 3)^2 = 5
d) (x + 2)^2 + (y - 3)^2 = 5
2. The equation of a hyperbola is given by (x - 3)^2 / 16 - (y + 2)^2 / 9 = 1. What are the coordinates of the center?
a) (3, -2)
b) (-3, 2)
c) (3, 2)
d) (-3, -2)
3. Which of the following is the standard equation for an ellipse?
a) (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1
b) (x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
c) (x - h)^2 / a^2 + (y - k)^2 / b^2 = -1
d) (x - h)^2 / a^2 - (y - k)^2 / b^2 = -1
4. The equation of a parabola is given by y = x^2 + 4x + 3. What are the coordinates of the vertex?
a) (-2, -1)
b) (-2, 1)
c) (2, -1)
d) (2, 1)
5. What is the standard equation of a circle with center (0, 0) and radius 7?
a) x^2 + y^2 = 49
b) x^2 + y^2 = 7
c) x^2 + y^2 = 14
d) x^2 + y^2 = 98
6. The equation of a hyperbola is given by (x - 1)^2 / 9 - (y + 2)^2 / 16 = 1. What is the distance between the foci?
a) 3
b) 5
c) 9
d) 16
7. Which of the following is not a conic section?
a) Line
b) Circle
c) Ellipse
d) Parabola
8. The equation of a parabola is given by y = -2x^2 - 4x + 1. What is the axis of symmetry?
a) x = -2
b) x = 2
c) y = -2
d) y = 2
9. The equation of an ellipse is given by (x - 2)^2 / 25 + (y + 3)^2 / 16 = 1. What are the coordinates of the foci?
a) (2, -5) and (2, -1)
b) (2, 1) and (2, -7)
c) (7, -3) and (-3, -3)
d) (1, -3) and (3, -3)
10. What is the standard equation of a circle with center (-4, 5) and radius 3?
a) (x + 4)^2 + (y - 5)^2 = 9
b) (x - 4)^2 + (y + 5)^2 = 9
c) (x - 4)^2 + (y - 5)^2 = 9
d) (x + 4)^2 + (y + 5)^2 = 9
11. The equation of a hyperbola is given by (x + 1)^2 / 4 - (y - 2)^2 / 9 = 1. What are the coordinates of the vertices?
a) (-1, 2 ± 3)
b) (-1 ± 2, 2)
c) (-1, 2 ± 2)
d) (-1 ± 3, 2)
12. Which of the following is not a conic section?
a) Circle
b) Hyperbola
c) Ellipse
d) Parabola
13. The equation of a parabola is given by y = 3x^2 + 6x + 2. What are the coordinates of the focus?
a) (-1, 1)
b) (-1, -1)
c) (1, -1)
d) (1, 1)
14. The equation of an ellipse is given by (x - 3)^2 / 16 + (y + 2)^2 / 9 = 1. What is the eccentricity?
a) 3/4
b) 4/3
c) 5/4
d) 4/5
15. What is the standard equation of a circle with center (2, -1) and radius 6?
a) (x - 2)^2 + (y + 1)^2 = 36
b) (x + 2)^2 + (y - 1)^2 = 36
c) (x - 2)^2 + (y - 1)^2 = 36
d) (x + 2)^2 + (y + 1)^2 = 36
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Q1, A, 144 B,150
Q2, 150 Correct answer 👏👏👏
Abdi
Elroi
♾ በትክክል መልሰዋል 👏👏👏👏👏🫶
Q1, find the measure of an interior angle of a regular polygon with:
A, 10 sides B, 12 sides
Q2, Find the number of sides of a regular polygon, if the measure of each of its interior angle is 150⁰?
You are 10 minutes ......👏✍✍
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Note Book
👉 For any regular n-sided polygon
🛠 Measure of each interior angle = (n-2)180⁰/n
🛠 measure of each centeral angle = 360⁰/n
🛠 measure of each exterior angle = 360⁰/n.
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Any regular polygon can be inscribed in a circle.Anonymous voting
- True
- False
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NB
👉 The measure of each interior angle of a regular n - sided polygon is n-2*180⁰/n.
👉 A polygon is said to be inscribed in a circle if all of it's vertices lie on the circle.
👉 the measure of an interior angle of an n-sided regular polygon is S/n, where S=(n-2)*180⁰.
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