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प्रश्न
Suppose you are given a circle. Give a construction to find its centre.
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उत्तर
The below given steps will be followed to find the centre of the given circle.
Step1. Take the given circle.
Step2. Take any two different chords AB and CD of this circle and draw perpendicular bisectors of these chords.
Step3. Let these perpendicular bisectors meet at point O. Hence, O is the centre of the given circle.
संबंधित प्रश्न
If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.
Fill in the blank:
All points lying inside/outside a circle are called .................. points/ .....................points.
Give a method to find the centre of a given circle.
Prove that any three points on a circle cannot be collinear.
Choose the correct alternative:
If the points, A, B, C are non-collinear points, then how many circles can be drawn which passes through points A, B, and C?
In the above figure, the circles with P, Q, and R intersect at points B, C, D, and E as shown. Lines CB and ED intersect in point M. Lines are drawn from point M to touch the circles at points A and F. Prove that MA = MF.
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How many circles can be drawn passing through a point?
Through three collinear points a circle can be drawn.
Find the value of y, if the points A(3, 4), B(6, y) and C(7, 8) are collinear.
