Find the values of y for which the
distance between the
between the points P(2, 3)
and Q (10, y) lo units.

Find the values of y for which the
distance between the
between the points P(2, 3)
and Q (10, y) lo units.

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  1. Answer:

    we have given

    p( 2,3) and q( 10, y)

    distance is 10 units so

    [tex]d = \sqrt{(xcom. {)}^{2} | } + (ycom. {)}^{2} [/tex]

    [tex](10 {) }^{2} = (10 – 2 {)}^{2} + (y – 3 {)}^{2} [/tex]

    [tex]100 = 64 + (y – 3 {)}^{2} [/tex]

    [tex] \sqrt{(100 – 64) } \: \: \: \: \: = y – 3[/tex]

    [tex]6 + 3 = y[/tex]

    [tex]y \: = 9[/tex]

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