English

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

Advertisements
Advertisements

Question

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 

Graph
Advertisements

Solution

On the graph, draw axis XOX’ and YOY’

Draw a line l, x = 6 which is parallel to y-axis

Take points P and Q which are at a distance of 3 units from the line l.

Draw lines m and n from P and Q parallel to l

With locus = 3, two lines can be drawn x = 3 and x = 9. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Loci (Locus and Its Constructions) - Exercise 16 (A) [Page 238]

APPEARS IN

Selina Concise Mathematics [English] Class 10 ICSE
Chapter 16 Loci (Locus and Its Constructions)
Exercise 16 (A) | Q 20. | Page 238

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Construct a triangle ABC, with AB = 6 cm, AC = BC = 9 cm. Find a point 4 cm from A and equidistant from B and C. 


Construct an isosceles triangle ABC such that AB = 6 cm, BC = AC = 4 cm. Bisect ∠C internally and mark a point P on this bisector such that CP = 5 cm. Find the points Q and R which are 5 cm from P and also 5 cm from the line 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. 


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. 


In the given figure ABC is a triangle. CP bisects angle ACB and MN is perpendicular bisector of BC. MN cuts CP at Q. Prove Q is equidistant from B and C, and also that Q is equidistant from BC and AC. 


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

Midpoint of radii of a circle. 


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

Point in a plane equidistant from a given line. 


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.

How will you find a point equidistant from three given points A, B, C which are not in the same straight line?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×