मराठी

Ab and Cd Are Two Intersecting Lines. Find a Point Equidistant from Ab and Cd,

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प्रश्न

AB and CD are two intersecting lines. Find a point equidistant from AB and CD, and also at a distance of 1.8 cm from another given line EF. 

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उत्तर

Draw angle bisector of AB and CD . Draw perpendio..ilars from AB and CD on angle bisector, say P. Pis the required point which is equidistant from AB and CD and at a distAnce of 1.8 cm from FF. 

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पाठ 15: Loci - Exercise 16.1

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संबंधित प्रश्‍न

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. 


Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of lengths 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. prove your construction.
(ii) Construct the locus of points, inside the circle that are equidistant from AB and AC. 


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. 


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 ball, rolling along a straight line on a level floor. 


Draw and describe the locus in the following case:

The locus of a point in the rhombus ABCD which is equidistant from the point  A and C.


Without using set squares or protractor construct a triangle ABC in which AB = 4 cm, BC = 5 cm and ∠ABC = 120°.
(i) Locate the point P such that ∠BAp = 90° and BP = CP.
(ii) Measure the length of BP.


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.


Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords, AB and AC, of the circle of length 6 cm and 5 cm respectively.

  1. Construct the locus of points, inside the circle, that are equidistant from A and C. Prove your construction.
  2. Construct the locus of points, inside the circle, that are equidistant from AB and AC.

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