English

Describe the locus of points at distances greater than or equal to 35 mm from a given point.

Advertisements
Advertisements

Question

Describe the locus of points at distances greater than or equal to 35 mm from a given point. 

One Line Answer
Advertisements

Solution

The locus is the space outside and circumference of the circle with a radius of 35 mm and the centre is the given fixed point

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Loci (Locus and Its Constructions) - Exercise 16 (B) [Page 241]

APPEARS IN

Selina Concise Mathematics [English] Class 10 ICSE
Chapter 16 Loci (Locus and Its Constructions)
Exercise 16 (B) | Q 15. (iv) | Page 241

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

In each of the given figures; PA = PB and QA = QB. 

i.
ii.

Prove, in each case, that PQ (produce, if required) is perpendicular bisector of AB. Hence, state the locus of the points equidistant from two given fixed points.


In parallelogram ABCD, side AB is greater than side BC and P is a point in AC such that PB bisects angle B. Prove that P is equidistant from AB and BC. 


Use ruler and compasses only for this question.

  1. Construct ΔABC, where AB = 3.5 cm, BC = 6 cm and ∠ABC = 60°.
  2. Construct the locus of points inside the triangle which are equidistant from BA and BC.
  3. Construct the locus of points inside the triangle which are equidistant from B and C.
  4. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and record the length of PB.

The given figure shows a triangle ABC in which AD bisects angle BAC. EG is perpendicular bisector of side AB which intersects AD at point F.

Prove that: 


F is equidistant from A and B.


Draw an angle ABC = 75°. Draw the locus of all the points equidistant from AB and BC.


In the given triangle ABC, find a point P equidistant from AB and AC; and also equidistant from B and C. 

 


Describe the locus of the centre of a wheel of a bicycle going straight along a level road.


Describe the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle. 


Describe the locus of points at distances greater than 4 cm from a given point. 


In Fig. ABCD is a quadrilateral in which AB = BC. E is the point of intersection of the right bisectors of AD and CD. Prove that BE bisects ∠ABC.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×