Maths-
General
Easy

Question

The distance between the segment joining origin and (x, y) is

  1. 𝑥 − 𝑦
  2. square root of x space plus space y end root
  3. square root of x squared space plus space y squared end root
  4. |𝑥 − 𝑦|

hintHint:

Distance between two points having coordinates (x1, y1) and (x2, y2) is given by formula:
Distance = square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root
Coordinates of origin are (0, 0).

The correct answer is: square root of x squared space plus space y squared end root


    • Step by step explanation:
    ○        Given:
    Points (0,0) and B (x, y).
    ○        Step 1:
    ○        Find distance:
    ○     Distance = square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root
    Distance = square root of left parenthesis x minus 0 right parenthesis squared plus left parenthesis y minus o right parenthesis squared end root
    rightwards double arrowDistance = square root of left parenthesis x right parenthesis squared plus left parenthesis y right parenthesis squared end root
    Hence, the distance between points is square root of left parenthesis x right parenthesis squared plus left parenthesis y right parenthesis squared end root units.
    ●       Final Answer:
    Correct option : C. square root of left parenthesis x right parenthesis squared plus left parenthesis y right parenthesis squared end rootunits.

    Related Questions to study

    General
    Maths-

    Compare the distance AB with AC.

    Compare the distance AB with AC.

    Maths-General
    General
    Maths-

    Find the distance between points A (3,8) and B (15,3).

    Find the distance between points A (3,8) and B (15,3).

    Maths-General
    General
    Maths-

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

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

    Maths-General
    parallel
    General
    Maths-

    Find the coordinates of the midpoint of 𝐶𝐷.

    Find the coordinates of the midpoint of 𝐶𝐷.

    Maths-General
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

    Find the coordinates of the midpoint M of the pencil.

    Find the coordinates of the midpoint M of the pencil.

    Maths-General
    parallel
    General
    Maths-

    Find the value of x.

    Find the value of x.

    Maths-General
    General
    Maths-

    Find the coordinates of T.

    Find the coordinates of T.

    Maths-General
    General
    Maths-

    Find the coordinates of E.

    Find the coordinates of E.

    Maths-General
    parallel
    General
    Maths-

    Find the length of the pencil.

    Find the length of the pencil.

    Maths-General
    General
    Maths-

    10 ropes of length 1.25 m are joined together. What is the length of the new rope? Explain and name the postulate you used.

    10 ropes of length 1.25 m are joined together. What is the length of the new rope? Explain and name the postulate you used.

    Maths-General
    General
    Maths-

    If 𝑋 ≡ (−7,0) 𝑎𝑛𝑑 𝑌 ≡ (3,0), find the distance between the points 𝑋 and 𝑌.

    If 𝑋 ≡ (−7,0) 𝑎𝑛𝑑 𝑌 ≡ (3,0), find the distance between the points 𝑋 and 𝑌.

    Maths-General
    parallel
    General
    Maths-

    𝐼 is the midpoint of 𝐻𝐽 and 𝐻𝐽 = 12.8 𝑐𝑚
    Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

    𝐼 is the midpoint of 𝐻𝐽 and 𝐻𝐽 = 12.8 𝑐𝑚
    Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

    Maths-General
    General
    Maths-

    Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

    Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

    Maths-General
    General
    Maths-

    Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
    48=2X+ 2Y

    Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
    48=2X+ 2Y

    Maths-General
    parallel

    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.