English

State and Draw the Locus of a Point Equidistant from Two Given Parallel Lines.

Advertisements
Advertisements

Question

State and draw the locus of a point equidistant from two given parallel lines.

Diagram
Sum
Advertisements

Solution


The locus of a point equidistant from two given parallel lines AB and CD is the line EF parallel to AB or CD exactly mid-way between AB and CD.

shaalaa.com
  Is there an error in this question or solution?
Chapter 17: Loci - Figure Based Questions

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 17 Loci
Figure Based Questions | Q 4

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Use ruler and compasses only for this question:

I. Construct  ABC, where AB = 3.5 cm, BC = 6 cm and ABC = 60o.
II. Construct the locus of points inside the triangle which are equidistant from BA and BC.
III. Construct the locus of points inside the triangle which are equidistant from B and C.
IV. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and records the length of PB.


On a graph paper, draw the line x = 6. Now, on the same graph paper, draw the locus of the point which moves in such a way that its distantce from the given line is always equal to 3 units 


Describe the locus of a point P, so that:

AB2 = AP2 + BP2,

where A and B are two fixed points.


O is a fixed point. Point P moves along a fixed line AB. Q is a point on OP produced such that OP = PQ. Prove that the locus of point Q is a line parallel to AB.


Construct a triangle BCP given BC = 5 cm, BP = 4 cm and ∠PBC = 45°.

  1. Complete the rectangle ABCD such that:
    1. P is equidistant from AB and BC.
    2. P is equidistant from C and D.
  2. Measure and record the length of AB. 

Draw a straight line AB of 9 cm. Draw the locus of all points which are equidistant from A and B. Prove your statement. 


Draw and describe the lorus in the following cases: 

The Iocus of the mid-points of all parallel chords of a circle.


Draw and describe the locus in the following case:

The locus of a point in rhombus ABCD which is equidistant from AB and AD.


Describe completely the locus of a point in the following case:

Centre of a circle of varying radius and touching the two arms of ∠ ABC. 


Use ruler and compass only for the following question. All construction lines and arcs must be clearly shown.

  1. Construct a ΔABC in which BC = 6.5 cm, ∠ABC = 60°, AB = 5 cm.
  2. Construct the locus of points at a distance of 3.5 cm from A.
  3. Construct the locus of points equidistant from AC and BC.
  4. Mark 2 points X and Y which are at a distance of 3.5 cm from A and also equidistant from AC and BC. Measure XY.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×