Q4 of 28 Page 107

What will be the locus of a point equidistant from three collinear points? Explain the reason of your answer.

The locus of a point equidistant from three collinear points A, F and B is a null set that means there is no such locus of points.


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2

The diagonals of a quadrilateral bisect each other.

Prove that this quadrilateral as a parallelogram.


 3

What will the locus of a point equidistant from three non-collinear points A, B and C? Explain the reason of your answer.

 5

Prove that the locus of the centres of circles passing through points A and B is the perpendicular bisector of line segment AB.

 6

In the given figure on the common base BC there are two isosceles triangles ΔPBC and ΔQBC on the opposite sides of BC. Prove that the line joining the points P and Q bisects line BC at right angles.