IMPORTANT SHORT QUESTIONS & ITS ANSWERS ON CURVE & LOCI

IMPORTANT SHORT QUESTIONS :

1. A locus is the path of a point which moves in ………………………

Ans: Same plane.

2. When the section plane is inclined to the axis and is parallel to one of the generators, the section is a …………………

Ans: Parabola.

3. When the section plane is inclined to the axis and cuts all the generators, on one side of the apex, the section is an ………………..

Ans: Ellipse.

4. When the section plane cuts both the parts of the double cone on one side of the axis, the section is …………….

Ans: Hyperbola.

5. If eccentricity (e) of a curve is equal to 1, the curve is said to be ……………….

Ans: Parabola.

6. If eccentricity (e) of a curve is less than 1, the curve is said to be ……………….

Ans: Ellipse.

7. If eccentricity (e) of a curve is greater than 1, the curve is said to be ………….

Ans: Hyperbola.

8. The ………… is the point at which the conic cuts the axis.

Ans: Apex / Vertex.

9. The ………….. is the point at which the generator cuts the axis.

Ans: Apex / Vertex.

10. The point at which the conic cut its axis is called ……………

Ans: Apex / Vertex.

11. The line passing through the focus and perpendicular to the …………………. Is called an axis.

Ans: Directrix.

12. When a cone is cut by planes at different angles, the intersection curves obtained are known as ……………..

Ans: Conic.

13. A line passing through the center of an ellipse and parallel to tangents on the curve at the point of intersection of other diameters of the ellipse is called …………………

Ans: Conjugate diameter.

14. When the plane is perpendicular to the axis, the curve is a …………………

Ans: Circle.

15. When the plane is parallel to the axis, the curve is a …………………

Ans: Hyperbola.

16. The distance of the ends of the …………….. of an ellipse from the focus is equal to the half of the ………...........

Ans: Minor Axis, Major Axis.

17. In a conics, the line passing through the fixed point and perpendicular to the fixed line is called ………...

Ans: Axis.

18. When the plane makes the same angle with the axis as do the generators, the curve is a …………….

Ans: Parabola.

19. When the plane makes an angle with the axis greater than what do the generators, the curve is an …………………

Ans: Ellipse.

20. The curve generated by a point on the circumference of a circle, rolling along another circle inside it, is called …………………..

Ans: Hypocycloid.

21. The curve generated by a point on the circumference of a circle, rolling along another circle outside it, is called ………………….

Ans: Epicycloid.

22. The curve generated by a point on the circumference of a circle, rolling along a straight line is called …………………….

Ans: Cycloid.

23. For a hyperbola, mathematical equation (x2/a2- y2/b2) = ………………………

Ans: 1.

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