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Chapter 1: Q. 44 (page 15)

Find the distance d(P1,P2)between the points P1andP2.

P1=(a,a);P2=(0,0)

Short Answer

Expert verified

The distance between the points isd=a2.

Step by step solution

01

Step 1. Given information.

Find the distance between the points.

P1=(a,a);P2=(0,0)

02

Step 2. Substitute the values in the formula.

The length of the line segment is the distance between the points P1=(x1,y1)=(a,a)andP2=(x2,y2)=(0,0).Using the distance formula with x1=a,y1=-a,x2=0,andy2=0, the length d is

d=x2-x12+(y2-y2)2d=0-a2+(0-a)2d=a2+a2d=2a2d=a2

03

Step 3. Conclusion. 

The distance between the points isa2.

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