Through any given set of four distinct points P, Q, R, S it is possible to draw at most ___circle(s).

Open in App

Solution

At most one circle can be drawn through a given set of four distinct points. These four points will then be referred to as 'concyclic points' (Lying on the same circle). It is also possible that no circle passes through all the four points.

Suggest Corrections

Similar questions

Through any given set of four distinct points P, Q, R, S it is possible to draw at most ___circle(s).

Through any given set of four distinct non-collinear points P, Q, R, S it is possible to draw at most ___circle(s).

Through any given set of three distinct points A, B, C it is possible to draw at most ___circle(s).

Q. Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Join BYJU'S Learning Program