Chapter 5
I’m Up and Down, and Round and Round
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

How many circles pass through two points on a plane?                                                                                              [Page No. 95]

Answer: Verified

Infinitely many circles pass through two given points A and B. The centre of any circle through A and B must be equidistant from A and B, so it lies on the perpendicular bisector of AB. Every point of that line can serve as a centre, giving a different circle through A and B, and a line contains infinitely many points.
Hence there are infinitely many such circles.

Download Free PDF
(All Q's of this Chapter solved)
More NCERT Questions
ABCD is a cyclic quadrilateral inscribed in a circle. If A measures 75^, what is the measure of C?If B measures 110^, what is the measure of D? Quadrilateral PQRS is inscribed in a circle. If P = (2x + 10)^ and R = (3x - 20)^, find the value of x and the measures of P and R. Consider a cyclic quadrilateral. Without drawing its circumcircle, how can we find out whether the centre of the circumcircle lies inside the quadrilateral or outside? What is the best way of finding The distance of a chord of length 16 cm from the centre of a circle is 6 cm. Find the radius of the circle.