3. If the points A (6, 1), B (8, 2), C (9, 4)
and D (p, 3) are the vertices of a
parallelogram, find the value of p
Answers
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4
Answer:
p=11 or 7
Step-by-step explanation:
As we know opposite sides of parallelogram are equal, so
AB =CD
now By distance formula,
√(8-6)^2+(2-1)^2=√(p-9)^2+(3-4)^2
4+1=p^2+81-18p+1
p^2-18p+77=0
p^2-11p-7p+77=0
p(p-11) -7(p-11) =0
(p-11)(p-7) =0
so p=11 or 7.
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