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Final value of a if distance between the...

Final value of a if distance between the points (-9 cm, a cm) and (3 cm, 3cm) is `13` cm.

Text Solution

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By using distance formula d `=sqrt((x_2-x_1)^(2)+ (y_2-y_1)^(2)) rArr 13 = sqrt ([3-(-9)]^(2)+ [3-a]^(2))`
`rArr 13^(2) = 12^(2) + (3-a)^(2) rArr (3-a)^(2) = 13^(2) - 12^(2) = 5^(2) rArr (3-a)= pm 5 rArr a = -2` cm or 8 cm
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