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Draw a circle of radius 6 cm using ruler and compasses. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the - Mathematics

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प्रश्न

Draw a circle of radius 6 cm using ruler and compasses. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?

आकृति

उत्तर


Steps of construction:

(i) Draw a circle with centre O of radius 6 cm.

(ii) Now, draw a diameter AB of the circle.

(iii) With the centre B and the radius more than `1/2(hat(AB))`, draw the arcs on each side of AB.

(iv) With the centre A and the same radius, draw the arcs on each side of AB which cuts the previously drawn arc at X and Y.

(v) Now join OX and OY and produce them to any points P and Q.

Thus PQ bisects the diameter of a circle. Yes, the perpendicular PQ contains another diameter of this circle.

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अध्याय 9: Symmetry and Practical Geometry - Exercise [पृष्ठ १४५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 6
अध्याय 9 Symmetry and Practical Geometry
Exercise | Q 82 | पृष्ठ १४५

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