Maths-
General
Easy

Question

Find the coordinates of the midpoint M of the pencil.

Hint:

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: (5, 4).


    • Step by step explanation:
    ○        Given:
    The endpoints of the pencil are A (4,0) R  (6, 8 ).
    M is the midpoint of the pencil.
    ○        Step 1:
    ○        Let the midpoint M be (x, y)
    ○        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,
    Coordinates of Midpoint of  M be:

    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 equals straight X comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction equals straight y end cell row cell not stretchy rightwards double arrow fraction numerator left parenthesis 4 plus 6 right parenthesis over denominator 2 end fraction equals straight X comma fraction numerator left parenthesis 0 plus 8 right parenthesis over denominator 2 end fraction equals straight y end cell row cell not stretchy rightwards double arrow 10 over 2 equals straight X comma 8 over 2 equals straight y end cell row cell not stretchy rightwards double arrow straight X equals stack stack 5 comma with _ below with _ below not stretchy rightwards double arrow straight y subscript 2 equals 4 end cell row cell not stretchy rightwards double arrow left parenthesis straight x comma straight y right parenthesis equals left parenthesis 5 comma 4 right parenthesis end cell end table

    • Final Answer:
    Hence, the coordinates of the midpoint M is (5, 4).

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.