Midpoint of P Q, using the value of ' k ' ...

ICSE Class X Math 2016 Paper

The slope of a line joining $P(6,k)$ and $Q(1-$ $3k,3)$ is $\;\frac{1}{2}$ . 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 = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)

\; = \left( \frac{6+1-3k}{2}, \frac{k+3}{2} \right)

\; = \left( \frac{6+1-3(-11)}{2}, \frac{-11+3}{2} \right)

\; = \left( \frac{7+33}{2}, \frac{-11+3}{2} \right)

\; = (20, -4)

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