Question

Question3:
A man has a sugarcane with end points A(3,2) and B(7,5).If he wants to distribute sugarcane into four equal parts (one for
his wife, one each to two children and one for himself) then, the coordinates of the
points which divide the sugarcane into four equal parts are
(a) (2.75 , 4) , (3 , 7) , (4.25 , 6) (b) (4 , 2.75) , (2 , 5) , (6 , 4.25)
(c) (4 , 2.75) , (5 , 3.5) , (6 , 4.25) (d) (5 , 3.5) , (3.5 , 5) , (3 , 7)

Answer 1

SOLUTION

GIVEN

• A man has a sugarcane with end points A(3,2) and B(7,5)

• If he wants to distribute sugarcane into four equal parts (one for his wife, one each to two children and one for himself)

TO CHOOSE THE CORRECT OPTION

The coordinates of the points which divide the sugarcane into four equal parts are

(a) (2.75 , 4) , (3 , 7) , (4.25 , 6)

(b) (4 , 2.75) , (2 , 5) , (6 , 4.25)

(c) (4 , 2.75) , (5 , 3.5) , (6 , 4.25)

(d) (5 , 3.5) , (3.5 , 5) , (3 , 7)

CONCEPT TO BE IMPLEMENTED

The midpoint of the line joining the points

A (x, y) and B(a, b) is

$= \displaystyle \sf{ \bigg( \frac{x + a}{2} \: , \frac{y + b}{2} \bigg) }$

EVALUATION

Here it is given that A man has a sugarcane with end points A(3,2) and B(7,5)

Now he wants to distribute sugarcane into four equal parts (one for his wife, one each to two children and one for himself)

So he has to divide the line AB into four parts

Let the points be C, D, E So that the four parts are AC, CD, DE, EB

Now D is the midpoint of AB

So the coordinates of D is

$= \displaystyle \sf{ \bigg( \frac{3 + 7}{2} \: , \frac{2 + 5}{2} \bigg) }$

$= \displaystyle \sf{ ( \: 5 \: , 3.5 \: ) }$

Again C is the midpoint of AD

So the coordinates of C is

$= \displaystyle \sf{ \bigg( \frac{3 + 5}{2} \: , \frac{2 + 3.5}{2} \bigg) }$

$= \displaystyle \sf{ ( \: 4 \: , 2.75 \: ) }$

Again E is the midpoint of DB

So the coordinates of E is

$= \displaystyle \sf{ \bigg( \frac{5+ 7}{2} \: , \frac{3.5+ 5}{2} \bigg) }$

$= \displaystyle \sf{ ( \: 6\: , 4.25 \: ) }$

FINAL ANSWER

The coordinates of the points which divide the sugarcane into four equal parts are

(c) (4 , 2.75) , (5 , 3.5) , (6 , 4.25)

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LEARN MORE FROM BRAINLY

Locate the following points on the cartesian plane

(0,a),(a,0),(-a, 0),(0,-a)

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Answer 2

Answer:

the end point and the mid point of suger came AB