NCERT Solutions for Class 9th Maths Chapter 10 Circles Ex 10.4 Q1

For Complete Solutions of CBSE Class 9 Maths Chapter 10 Circles, http://www.learncbse.in/ncert-solutions-for-class-9-maths/

1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

Let AB be a line and P be a point. Since there are infinite numbers of points on a line, if you join these points to P, you will get infinitely many line segments PL1, PL2, PM, PL3, PL4, etc. Which of these is thedistance of AB from P? You may think a while and get the answer. Out of these line segments, the perpendicular from P to AB, namely PM will be the least. In Mathematics, we define this least length PM to be the distance of AB from P. So you

may say that:

The length of the perpendicular from a point to a line is the distance of the line from the point. Note that if the point lies on the line, the distance of the line from the point is zero.

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