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If the mid-point of the line …

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If the mid-point of the line segment joining the points A (3, 4) and B (k, 6) is P (x, y) and x + y – 10 = 0, find the value of k.

Posted by Monika Yadav 8 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Naveen Sharma 8 years, 8 months ago

Ans.

Given : A(3,4), B(k,6)

x+y - 10 = 0 ………………(1)

According to Mid-Point Formula,

{tex}x = {3+k\over 2}{/tex} {tex},y = {4+6 \over 2} = 5{/tex}

put value of x and y in (1),

{tex}=> {3+k\over 2} + 5 -10 = 0{/tex}

{tex}=> 3+k + 10 -20 = 0{/tex}

{tex}=> k -7 = 0{/tex}

=> k = 7

1Thank You

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