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 fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction

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 (x2, y2)
    ○        As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction
    So,
    Midpoint of line segment is given by:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow space of 1em fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction equals 1 comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction equals 1 end cell row cell not stretchy rightwards double arrow space of 1em fraction numerator open parentheses 0 plus x subscript 2 close parentheses over denominator 2 end fraction equals 1 comma fraction numerator open parentheses 0 plus y subscript 2 close parentheses over denominator 2 end fraction equals 1 end cell end table
    rightwards double arrowx2 = 2  1  ,  y2 = 2  1
    rightwards double arrow(x2, y2) = (2, 2)
    • Final Answer:
    Hence, the coordinates of the point P of the line segment is (2, 2).

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