This set of Engineering Drawing written test Questions & Answers focuses on “Basics of Conic Sections – 2”.
1. Which of the following is a conic section?
a) Apex
b) Circle
c) Rectangle
d) Square
View Answer
Explanation: Conic sections are formed when a plane cuts through the cone at an angle with respect to the axis of the cone. If the angle is right angle then the conics is a circle, if the angle is oblique then the resulting conics are parabola and ellipse.
2. Which of the following has an eccentricity more than unity?
a) Parabola
b) Circle
c) Hyperbola
d) Ellipse
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix. It is denoted as e. The value of eccentricity can give information regarding which type of conics it is. The eccentricity of a hyperbola is more than one.
3. If the distance from the focus is 10 units and the distance from the directrix is 30 units, then what is the name of the conic?
a) Circle
b) Parabola
c) Hyperbola
d) Ellipse
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix. Hence from the formula of eccentricity, e = 10 ÷ 30 = 0.3333. Since the value of eccentricity is less than one the conic is an ellipse.
4. If the distance from the focus is 2 mm and the distance from the directrix is 0.5 mm then what is the value of eccentricity?
a) 0.4
b) 4
c) 0.04
d) 40
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Therefore, by definition, e = 2 ÷ 0.5 = 4. Hence the conic section is called as hyperbola.
5. If the distance from the focus is 3 units and the distance from the directrix is 3 units, then what is the name of the conic section?
a) Ellipse
b) Hyperbola
c) Circle
d) Parabola
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Therefore, by definition, e = 3 ÷ 3 = 1. Hence the conic section is called as a parabola.
6. If the distance from the directrix is 5 units and the distance from the focus is 3 units then what is the name of the conic section?
a) Ellipse
b) Parabola
c) Hyperbola
d) Circle
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Hence, by definition, e = 3 ÷ 5 = 0.6. Hence the conic section is called an ellipse.
7. If the distance from a fixed point is greater than the distance from a fixed straight line then what is the name of the conic section?
a) Parabola
b) Circle
c) Hyperbola
d) Ellipse
View Answer
Explanation: The fixed point is called as focus and the fixed straight line is called as directrix. Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. If e is greater than one then the conic section is called as a hyperbola.
8. If the distance from a fixed straight line is equal to the distance from a fixed point then what is the name of the conic section?
a) Ellipse
b) Parabola
c) Hyperbola
d) Circle
View Answer
Explanation: The fixed straight line is called as directrix and the fixed point is called as a focus. Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Eccentricity of a parabola is unity.
9. If the distance from the directrix is greater than the distance from the focus then what is the value of eccentricity?
a) Unity
b) Less than one
c) Greater than one
d) Zero
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Therefore, by definition the value of eccentricity is less than one hence the conic section is an ellipse.
10. If the distance from the directrix is 5 units and the distance from the focus is 3 units then what is the value of eccentricity?
a) 1.667
b) 0.833
c) 0.60
d) 0.667
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Therefore, by definition, e = 3 ÷ 5 = 0.6. Hence the conic section is called an ellipse.
11. If the distance from a fixed straight line is 5mm and the distance from a fixed point is 14mm then what is the name of the conic section?
a) Hyperbola
b) Parabola
c) Ellipse
d) Circle
View Answer
Explanation: The fixed straight line is called directrix and the fixed point is called as a focus. Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Hence from definition e = 14 ÷ 5 = 2.8. The eccentricity of a hyperbola is greater than one.
12. If the distance from the directrix is greater than the distance from the focus then what is the name of the conic section?
a) Hyperbola
b) Parabola
c) Ellipse
d) Circle
View Answer
Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Therefore, by definition the value of eccentricity is less than one hence the conic section is an ellipse.
13. If the distance from a fixed straight line is equal to the distance from a fixed point then what is the value of eccentricity?
a) Unity
b) Greater than one
c) Infinity
d) Zero
View Answer
Explanation: The fixed straight line is called as directrix and the fixed point is called as a focus. Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Hence from definition e = x ÷ x = 1.
14. If the distance from a fixed point is greater than the distance from a fixed straight line then what is the value of eccentricity?
a) Unity
b) Infinity
c) Zero
d) Greater than one
View Answer
Explanation: The fixed point is called as focus and the fixed straight line is called as directrix. Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Hence from the definition, the value of eccentricity is greater than one.
15. If the distance from a fixed straight line is 5mm and the distance from a fixed point is 14mm then what is the value of eccentricity?
a) 0.357
b) 3.57
c) 2.8
d) 0.28
View Answer
Explanation: The fixed straight line is called as directrix and the fixed point is called as a focus. Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Hence from definition e = 14 ÷ 5 = 2.8.
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