हिंदी

Describe the locus of vertices of all isosceles triangles having a common base.

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प्रश्न

Describe the locus of vertices of all isosceles triangles having a common base.

Draw and describe the locus in the following case:

The locus of vertices of all isosceles triangles having a common base.

आकृति
अति संक्षिप्त उत्तर
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उत्तर

The locus of vertices of all isosceles triangles having a common base will be the perpendicular bisector of the common base of the triangles.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Locus - Exercise 14 [पृष्ठ ३०२]

APPEARS IN

नूतन Mathematics [English] Class 10 ICSE
अध्याय 14 Locus
Exercise 14 | Q 2. (ii) | पृष्ठ ३०२
सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 16 Loci (Locus and Its Constructions)
EXERCISE 16 (B) | Q 11. | पृष्ठ २४५

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.


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.


Plot the points A(2, 9), B(–1, 3) and C(6, 3) on graph paper. On the same graph paper draw the locus of point A so that the area of ΔABC remains the same as A moves. 


Two straight roads AB and CD cross each other at Pat an angle of 75°  . X is a stone on the road AB, 800m from P towards B. BY taking an appropriate scale draw a figure to locate the position of a pole, which is equidistant from P and X, and is also equidistant from the roads. 


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. 


In Δ ABC, B and Care fixed points. Find the locus of point A which moves such that the area of Δ ABC remains the same. 


Using only ruler and compasses, construct a triangle ABC 1 with AB = 5 cm, BC = 3.5 cm and AC= 4 cm. Mark a point P, which is equidistant from AB, BC and also from Band C. Measure the length of PB. 


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.


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


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