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Chapter 1: Q 34. (page 51)

Show that the points A1,5,B-3,5and

C-3,5lie on a circle with center -1,2. What is the radius of the circle.

Short Answer

Expert verified

Since the distance of all points from center is same so they are all lie on same circle and radius is13.

Step by step solution

01

Step 1.  Given information .

Consider the given pointsA1,5,B2,4andC-3,5and centerO-1,2.

02

Step 2. Using  distance formula to check the distance of points from center.d=x2-x12+y2-y12

The formula used to find distance.

dOA=1+12+5-22dOA=13dOB=2+12+4-22dOB=13

Further simplify.

dOC=-3+12+2-52dOC=13

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