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Using Ruler and Compasses Construct: (I) a Triangle Abc in Which Ab = 5.5 Cm, Bc = 3.4 Cm and Ca = 4.9 Cm. (Ii) the Locus of Point Equidistant from a and C. (Iii) a Circle Touching Ab at a and

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प्रश्न

Using ruler and compasses construct:
(i) a triangle ABC in which AB = 5.5 cm, BC = 3.4 cm and CA = 4.9 cm.
(ii) the locus of point equidistant from A and C.
(iii) a circle touching AB at A and passing through C.

आकृति
योग
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उत्तर

Steps of construction :
(i) Draw AC = 4·9 cm, draw AB = 5·5 cm and AC = 4·9 cm.
(ii) Draw bisector l ⊥ AC.
(iii) Draw AO ⊥ AB.
(iv) Intersection of AO and L is centre of circle.

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अध्याय 17: Loci - Figure Based Questions

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 17 Loci
Figure Based Questions | Q 16

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संबंधित प्रश्न

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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.


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.


Use graph paper for this question. Take 2 cm = 1 unit on both the axes.

  1. Plot the points A(1, 1), B(5, 3) and C(2, 7).
  2. Construct the locus of points equidistant from A and B.
  3. Construct the locus of points equidistant from AB and AC.
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  5. Measure and record the length PA in cm. 

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Use ruler and compasses only for the following questions:
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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.


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