English

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.

Advertisements
Advertisements

Question

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.

Diagram
Very Short Answer
Advertisements

Solution

Diagonals AC and BD bisect each other at right angles at O.

Hence, O is equidistant from A and C.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Locus - Exercise 14 [Page 302]

APPEARS IN

Nootan Mathematics [English] Class 10 ICSE
Chapter 14 Locus
Exercise 14 | Q 2. (vi) | Page 302
Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 15 Loci
Exercise 16.1 | Q 23.5

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Construct a triangle ABC with AB = 5.5 cm, AC = 6 cm and ∠BAC = 105°

Hence:

1) Construct the locus of points equidistant from BA and BC

2) Construct the locus of points equidistant from B and C.

3) Mark the point which satisfies the above two loci as P. Measure and write the length of PC.


Describe the locus of vertices of all isosceles triangles having a common base.


Draw an angle ABC = 75°. Find a point P such that P is at a distance of 2 cm from AB and 1.5 cm from BC.


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


AB and CD are two intersecting lines. Find a point equidistant from AB and CD, and also at a distance of 1.8 cm from another given line EF. 


Construct a rhombus ABCD with sides of length 5 cm and diagonal AC of length 6 cm. Measure ∠ ABC. Find the point R on AD such that RB = RC. Measure the length of AR. 


Construct a rhombus ABCD whose diagonals AC and BD are 8 cm and 6 cm respectively. Find by construction a point P equidistant from AB and AD and also from C and D. 


Without using set squares or protractor construct a triangle ABC in which AB = 4 cm, BC = 5 cm and ∠ABC = 120°.
(i) Locate the point P such that ∠BAp = 90° and BP = CP.
(ii) Measure the length of BP.


Use ruler and compasses only for the following questions:
Construct triangle BCP, when CB = 5 cm, BP = 4 cm, ∠PBC = 45°.
Complete the rectangle ABCD such that :
(i) P is equidistant from AB and BC and
(ii) P is equidistant from C and D. Measure and write down the length of AB.


Use ruler and compass to answer this question. Construct ∠ABC = 90°, where AB = 6 cm, BC = 8 cm.

  1. Construct the locus of points equidistant from B and C.
  2. Construct the locus of points equidistant from A and B.
  3. Mark the point which satisfies both the conditions (a) and (b) as 0. Construct the locus of points keeping a fixed distance OA from the fixed point 0.
  4. Construct the locus of points which are equidistant from BA and BC.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×