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ICSE Class X Math 2016 Solved Paper

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The slope of a line joining P(6,k) and Q(1− 3k,3) is ‌
1
2
. Find:
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Question : 5
Total: 57
Midpoint of PQ, using the value of ' k ' found in (i).
Solution:  
‌‌ Mid point of ‌PQ=(‌
x1+x2
2
,‌
y1+y2
2
)
‌=(‌
6+1−3k
2
,‌
k+3
2
)
‌=(‌
6+1−3(−11)
2
,‌
−11+3
2
)
‌=(‌
7+33
2
,‌
−11+3
2
)
‌=(20,−4)
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