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If (3,3/4) is the mid-point of the line segment joining the points (k,O) and (7,3/2). Find value of k.

Asked by mkmishra101 21st March 2017, 5:33 PM
Answered by Expert
Answer:

begin mathsize 16px style Mid minus point space of space line space joining space points space open parentheses straight k comma 0 close parentheses space and space open parentheses 7 comma 3 over 2 close parentheses space is space open parentheses 3 comma 3 over 4 close parentheses.
Hence comma space using space mid minus point space formula comma
fraction numerator straight k plus 7 over denominator 2 end fraction equals 3
straight k plus 7 equals 6
straight k equals negative 1 end stylebegin mathsize 16px style Mid minus point space of space line space joining space points space open parentheses straight k comma 0 close parentheses space and space open parentheses 7 comma 3 over 2 close parentheses space is space open parentheses 3 comma 3 over 4 close parentheses.
Hence comma space using space mid minus point space formula comma
fraction numerator straight k plus 7 over denominator 2 end fraction equals 3
straight k plus 7 equals 6
straight k equals negative 1 end style

Answered by Expert 21st March 2017, 5:38 PM
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