English

Draw and Describe the Lorus in the Following Cases:

Advertisements
Advertisements

Question

Draw and describe the lorus in the following cases: 

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

Diagram
Advertisements

Solution

The locus of the mid-points of parallel chords is the diameter perpendicular to the given chords. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Loci - Exercise 16.1

APPEARS IN

Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 16 Loci
Exercise 16.1 | Q 23.3

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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 


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. 

Two straight roads AB and CD cross each other at Pat an angle of 75°  . X is a stone on the road AB, 800m from P towards B. BY taking an appropriate scale draw a figure to locate the position of a pole, which is equidistant from P and X, and is also equidistant from the roads. 


A and B are fixed points while Pis a moving point, moving in a way that it is always equidistant from A and B. What is the locus of the path traced out by the pcint P? 


In given figure, ABCD is a kite. AB = AD and BC =CD. Prove that the diagona AC is the perpendirular bisector of the diagonal BD. 


In Δ PQR, bisectors of  ∠ PQR and ∠ PRQ meet at I. Prove that I is equidistant from the three sides of the triangle , and PI bisects ∠ QPR . 


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

Midpoint of radii of a circle. 


Draw and describe the locus in the following case:

The locus of a point in the rhombus ABCD which is equidistant from the point  A and C.


State and draw the locus of a swimmer maintaining the same distance from a lighthouse.


Without using set squares or a protractor, construct:

  1. Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
  2. Draw the locus of a point which moves so that it is always 2.5 cm from B.
  3. Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
  4. Mark the point of intersection of the loci with the letter P and measure PC.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×