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The distance between two points p(x(1),y...

The distance between two points `p(x_(1),y_(1)) and q(x_(2),y_(2))` is given be :

A

`sqrt((x_(1)+x_(2))^(2)+(y_(1)+y_(2))^(2))`

B

`sqrt((x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2))`

C

`sqrt((x_(1)-x_(2))-(y_(1)-y_(2)))`

D

`sqrt((x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2))`

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Knowledge Check

  • The distance between the points p(x_(1),y_(1)) and q(x_(2),y_(2)) given by is :

    A
    `sqrt((x_(1)+x_(2))^(2)+(y_(1)+y_(2))^(2))`
    B
    `sqrt((x_(1)+x_(2))^(2)+(y_(1)+y_(2)))^(2)`
    C
    `sqrt((x_(1)-x_(2))-(y_(1)+y_(2)))`
    D
    `sqrt((x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2))`

  • The distance between the points P(2, 3) and Q(4, 1) is ________

    A
    `3sqrt(6)`
    B
    `2sqrt(2)`
    C
    `2sqrt(4)`
    D
    `3sqrt(9)`

  • If x_(1), x_(2), x_(3) as well as y_(1) , y _(2) , y _(3) are in G.P. with the same common ratio, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and ( x_(3), y _(3)) :

    A
    lie on a st. line
    B
    lie on an ellipse
    C
    lie on a circle
    D
    are vertices of a triangle

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