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Draw and Describe the Lorus in the Following Cases: - Mathematics

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प्रश्न

Draw and describe the lorus in  the following cases: 

The locus of points at a distance of 4 cm from a fixed line. 

आकृति
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उत्तर

The locus of points at a distance of 4 cm from fixed line AB are lines Land M which are parallel to AB. 

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अध्याय 16: Loci - Exercise 16.1

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 16 Loci
Exercise 16.1 | Q 23.1

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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.


Use ruler and compasses only for this question:

I. Construct  ABC, where AB = 3.5 cm, BC = 6 cm and ABC = 60o.
II. Construct the locus of points inside the triangle which are equidistant from BA and BC.
III. Construct the locus of points inside the triangle which are equidistant from B and C.
IV. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and records the length of PB.


Describe the locus of a point P, so that:

AB2 = AP2 + BP2,

where A and B are two fixed points.


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. 


Construct a ti.PQR, in which PQ=S. 5 cm, QR=3. 2 cm and PR=4.8 cm. Draw the locus of a point which moves so that it is always 2.5 cm from Q. 


Draw and describe the locus in the following case:

The locus of a point in rhombus ABCD which is equidistant from AB and AD.


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:

Centre of a circle of varying radius and touching the two arms of ∠ ABC. 


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


State and draw the locus of a point equidistant from two given parallel lines.


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