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Questions
Describe the locus of the centres of all circles passing through two fixed points.
Draw and describe the locus in the following case:
The locus of centres of all circles passing through two fixed points.
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Solution
The locus of the centre of all the circles which pass through two fixed points will be the perpendicular bisector of the line segment joining the two fixed points which are given.
RELATED QUESTIONS
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Describe the locus for questions 1 to 13 given below:
1. The locus of a point at a distant 3 cm from a fixed point.
Describe the locus of points at a distance 2 cm from a fixed line.
Describe the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.
Describe the locus of points at distances less than 3 cm from a given point.
In Δ ABC, the perpendicular bisector of AB and AC meet at 0. Prove that O is equidistant from the three vertices. Also, prove that if M is the mid-point of BC then OM meets BC at right angles.
The bisectors of ∠B and ∠C of a quadrilateral ABCD intersect in P. Show that P is equidistant from the opposite sides AB and CD.
