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Chapter 10: Q19. (page 661)

Find the distance between the points with the given coordinate.

(鈭�4,鈭�6),鈥�(鈭�7,1)

Short Answer

Expert verified

The distance between the coordinates(鈭�4,鈭�6) and (鈭�7,1)is 5 units.

Step by step solution

01

Step 1. State the concept of ‘Distance between two points in 2 dimensional plane’.

Let the two points in 2 dimensional plane be (x1,y1)and (x2,y2).

The distance between the points is given as:

d=(x2鈭�x1)2+(y2鈭�y1)2鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�鈥�(1)

Where dis the distance.

02

Step 2. Calculate the distance.

The two points which is given are (鈭�4,鈭�6)and (鈭�7,1).

Substitute (鈭�4,鈭�6)as (x1,y1)and (鈭�7,1)as (x2,y2)in (1)to calculate the distance.

d=(x2鈭�x1)2+(y2鈭�y1)2鈥夆赌夆赌�=(鈭�7鈭�(鈭�4))2+(1鈭�(鈭�6))2=(鈭�7+4)2+(1+6)2=(鈭�3)2+(7)2=9+49=58

03

Step 3. State the conclusion.

Therefore, distance between the points(鈭�4,鈭�6) and (鈭�7,1)is58 units.

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