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Question
A line PQ is drawn and with P as centre, a circle is drawn with radius greater than half of PQ but less than PQ. Again with same radius and Q as centre, draw another circle. If the two circles meet at X and Y, then what can be said about the points X and Y?
A line PQ is drawn and with P as centre, a circle is drawn with radius greater than half of PQ but less than PQ. Again with same radius and Q as centre, draw another circle. If the two circles meet at X and Y, then what can be said about the points X and Y?
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Solution
The correct option is B The midpoint of XY lies on PQ and they coincide
The above description gives the perpendicular bisector of PQ.
Alternate solution:
The quadrilateral formed by joining PXQY is a rhombus. In rhombus the diagonals are perpendicular bisectors.
The midpoint of XY lies on PQ and they coincide
The above description gives the perpendicular bisector of PQ.
Alternate solution:
The quadrilateral formed by joining PXQY is a rhombus. In rhombus the diagonals are perpendicular bisectors.
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