This set of Engineering Drawing Multiple Choice Questions & Answers (MCQs) focuses on “Loci of Points by Different Methods”.

1. The locus of a point P about another point O such that its distance from O is constant is ________

a) a line passing through O

b) two parallel lines equidistant from O

c) a circle with center O

d) a curve with O in it

View Answer

Explanation: Since in the circle the distance from any point P on it to centre O is equal which is called radius of that circle. The compass is built based on this locus concept in drawing circles.

2. The locus of a point P such that its distance from a fixed line AB is constant is____________

a) a circle with AB as a largest chord (diameter)

b) a line perpendicular to AB passing through the midpoint of AB

c) a line parallel to AB

d) a line perpendicular to AB cutting AB at centre

View Answer

Explanation: There is no other chance of locating point P whose distance from a fixed line is constant other than a line parallel to given line and passing through point P and this help in drawing parallel lines.

3. Locus of a point P equidistant from two fixed points A and B is ____________

a) an ellipse

b) a line perpendicular to AB passing through the midpoint of AB

c) a circle with AB as largest chord

d) a parallel line of AB

View Answer

Explanation: The line which makes equal distance from the two fixed points will definitely pass through the midpoint of line joining the two points and will definitely perpendicular to the line formed by joining the two points.

4. The locus of point which is equidistant from 2 non parallel lines is ___________

a) a straight line bisecting the angle between them

b) a line which cuts both lines at same distances from point of intersection of given lines

c) a closed curve around them

d) a line perpendicular to the 1st line

View Answer

Explanation: The line obtained is the angular bisector of the two lines given so carries points which are equidistant from the both the lines, if the lines are perpendicular to each other the line makes 45 degrees with both the line, if the lines are parallel then locus would be parallel line to both and will in between them making same distance from both the lines.

5. Locus of a point P equidistant from a fixed line and fixed point F is _____________

a) a circle with centre F

b) an ellipse with foci P and F

c) a parabola

d) a hyperbola

View Answer

Explanation: The point T given here is otherwise known as focus in parabola and also the ratio to perpendicular distance from the fixed line to distance from P to T is called eccentricity which is equal to 1 for a parabola.

6. Locus of the point P such that the sum of distances from two fixed points is always constant is __________

a) an ellipse

b) a hyperbola

c) a parabola having those fixed point on its axis

d) a line perpendicular to line joining those two points and passing through the midpoint of it

View Answer

Explanation: The two points given are foci of ellipse. Ellipse is a curve whose eccentricity is less than one. The process given is one of the methods to draw an ellipse in an easy way. Since the sum of distances from two fixed points to point P on curve is always constant.

7. A sliding member AB has attached to a rocker BC, this BC is attached to crank CD. D is fixed end and as crank is rotating about D the slider slides parallel to it. What is the locus of point P on any point on the rocker?

a) Ellipse

b) Circle

c) Line

d) Semi-circle

View Answer

Explanation: The whole mechanism given here is a slider crank mechanism. The C traces the path of circle. But as the rocker has ends in which one is sliding and other is making circle the point on such a member will always trace the path ellipse.

8. A sliding member AB has attached to a rocker BC, this BC is attached to crank CD. D is fixed end and as crank is rotating about D the slider slides parallel to it. What is the locus of C?

a) Ellipse

b) Circle

c) Line

d) Semi-circle

View Answer

Explanation: The whole mechanism given here is a slider crank mechanism. The asked point C which is at end of crank always rotates around the D and the member length will not change so the curve traced by that point is circle.

9. Locus of the point P which is rotating about another point O with uniform angular velocity and the PO is increasing at a constant rate is ________

a) an ellipse

b) archimedean spiral

c) helix

d) logarithmic spiral

View Answer

Explanation: It is a curve traced out by a point moving in such a way that it’s movement towards or away from the pole is uniform with the increase of vectorial angle from the starting line. These types of curves are used in drawing profiles of cam.

10. The locus of point P whose perpendicular distance from a fixed line and distance from a point T is equal is _______________

a) a circle

b) an ellipse

c) a parabola

d) a hyperbola

View Answer

Explanation: The point T given here is otherwise known as focus in a parabola and also the ratio to perpendicular distance from the fixed line to distance from P to T is called eccentricity which is equal to 1 for parabola.

11. The locus of point P moving such that the ratio of the lengths of consecutive distances from point O enclosing equal angles is always constant is_________________

a) archimedean spiral

b) logarithmic spiral

c) a parabola

d) a circle

View Answer

Explanation: The distance from the P to O that is pole is called radius vector. The values of vectorial angles are in arithmetic progression and the corresponding values of radius vectors are in geometrical progression.

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