मराठी

In the given figure, obtain all the points equidistant from lines m and n; and 2.5 cm from O.

Advertisements
Advertisements

प्रश्न

In the given figure, obtain all the points equidistant from lines m and n; and 2.5 cm from O. 

बेरीज
Advertisements

उत्तर

 
Draw an angle bisector PQ and XY of angles formed by the lines m and n.

From O, draw arcs with radius 2.5 cm, which intersect the angle bisectors at a, b, c and d respectively.

Hence, a, b, c and d are the required four points. 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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. 


In triangle LMN, bisectors of interior angles at L and N intersect each other at point A. Prove that:

  1. Point A is equidistant from all the three sides of the triangle.
  2. AM bisects angle LMN. 

Draw a line AB = 6 cm. Draw the locus of all the points which are equidistant from A and B. 


Draw an ∠ABC = 60°, having AB = 4.6 cm and BC = 5 cm. Find a point P equidistant from AB and BC; and also equidistant from A and B. 


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


Describe the locus of points at distances less than or equal to 2.5 cm from a given point. 


In a quadrilateral PQRS, if the bisectors of ∠ SPQ and ∠ PQR meet at O, prove that O is equidistant from PS and QR. 


Find the locus of the centre of a circle of radius r touching externally a circle of radius R.


Use ruler and compasses for the following question taking a scale of 10 m = 1 cm. A park in a city is bounded by straight fences AB, BC, CD and DA. Given that AB = 50 m, BC = 63 m, ∠ABC = 75°. D is a point equidistant from the fences AB and BC. If ∠BAD = 90°, construct the outline of the park ABCD. Also locate a point P on the line BD for the flag post which is equidistant from the corners of the park A and B.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×