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Conic sections
Written by Hassan Raza (Mathematics)
8 Class 12 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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The equation x² + y² = 25 represents a circle of radius:
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Correct answer: 5
r² = 25, so r = 5.
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The focus of the parabola y² = 4x is at:
- 1 (2, 0)
- 2 (1, 0)
- 3 (4, 0)
- 4 (0, 1)
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Correct answer: (1, 0)
For y² = 4ax the focus is (a, 0), with a = 1.
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The eccentricity of a parabola is:
- 1 Greater than 1
- 2 0
- 3 1
- 4 Less than 1
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Correct answer: 1
A parabola has e = 1.
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The centre of the circle (x - 2)² + (y + 3)² = 16 is:
- 1 (-2, -3)
- 2 (2, -3)
- 3 (-2, 3)
- 4 (2, 3)
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Correct answer: (2, -3)
The centre is (h, k) in (x - h)² + (y - k)² = r².
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The eccentricity of an ellipse is:
- 1 Less than 1
- 2 Equal to 1
- 3 Greater than 1
- 4 Zero always
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Correct answer: Less than 1
Ellipses have 0 < e < 1.
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The equation y² = 8x is a:
- 1 Parabola
- 2 Circle
- 3 Hyperbola
- 4 Ellipse
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Correct answer: Parabola
It has the form y² = 4ax.
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The centre of the circle x² + y² = 9 is:
- 1 (0, 9)
- 2 (3, 3)
- 3 (0, 0)
- 4 (9, 0)
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Correct answer: (0, 0)
It is centred at the origin.
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The eccentricity of a hyperbola is:
- 1 Zero
- 2 Greater than 1
- 3 Equal to 1
- 4 Less than 1
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Correct answer: Greater than 1
Hyperbolas have e > 1.
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