Maths-

General

Easy

Question

# If M (1,1) is the midpoint of a line segment joining origin and point P, find the coordinates of P.

Hint:

### Coordinates of origin are (0, 0).

Midpoint divides the line segment in two equal parts.

If Line has two endpoints (x1, y1) and (x2, y2) then midpoint of line segment

will be

## The correct answer is: (2, 2)

- Step by step explanation:

○ Given:

End point of the line is (0, 0).

Midpoint of the line is M(1, 1)

○ Step 1:

○ Let the coordinates of point P be (x_{2}, y_{2})

○ As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by

So,

Midpoint of line segment is given by:

x_{2} = 2 1 , y_{2} = 2 1

(x_{2}, y_{2}) = (2, 2)

- Final Answer:

Hence, the coordinates of the point P of the line segment is (2, 2).

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