Maths-
General
Easy

Question

What will be the midpoint of a line segment joining origin and (4,10)?

hintHint:

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, 5).


    • Step by step explanation:
    ○        Given:
    End points of the line are  (0, 0) and F (4, 10).
    ○        Step 1:
    ○        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 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 end cell row cell not stretchy rightwards double arrow fraction numerator left parenthesis 0 plus 4 right parenthesis over denominator 2 end fraction comma fraction numerator left parenthesis 0 plus 10 right parenthesis over denominator 2 end fraction end cell row cell not stretchy rightwards double arrow 4 over 2 comma 10 over 2 end cell end table
    rightwards double arrow(2, 5)
    • Final Answer:
    Hence, the coordinates of the midpoint of the line segment is (2, 5).

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