ICSE Class X Math 2016 Solved Paper

The slope of a line joining $P(6, k)$ and $Q(1-$ $3 k, 3)$ is $\;{1}/{2}$ . Find:

Question : 5 of 57

Marks: +1, -0

Midpoint of

P Q

, using the value of '

k

' found in (i).

Solution:

\;\;\text " Mid point of "\; {\PQ}= (\;{x_1+x_2}/{2}, \;{y_1+y_2}/{2})

\;= (\;{6+1-3 k}/{2}, \;{k+3}/{2})

\;= (\;{6+1-3(-11)}/{2}, \;{-11+3}/{2})

\;= (\;{7+33}/{2}, \;{-11+3}/{2})

\;=(20,-4)

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