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Chapter 1: Q. 61 (page 15)

Find the midpoint of the line segment joining the points P1 and P2 .

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

Short Answer

Expert verified

The midpoint of line segment isa2,b2.

Step by step solution

01

Step 1. Given information.

Find the midpoint of the line segment joining the points P1 and P2 .

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

02

Step 2. Midpoint Formula.

The midpoint M=(x,y)of the line segment from P1=x1,y1toP2=x2,y2is

M=(x,y)=x1+x22,y2+y12

03

Step 3. Apply the midpoint formula.

The coordinates (x, y) of the midpoint M are

x=x1+x22=a+02=a2andy=y1+y22=b+02=b2

So, MidpointM=(x,y)=(a2,b2)

04

Step 4. Conclusion.

The midpoint of the line segment isa2,b2.

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