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A (a + 1,a -1), B(a² +1,a²-1 and C(a³ +1,a³-1) are given points D(11,9) is the mid point of AB and E (41,39) is the mid point of BC. If F is the mid point of AC then (BF)² is equal to?

A (a + 1,a -1), B(a² +1,a²-1 and C(a³ +1,a³-1) are given points D(11,9) is the mid point of AB and E (41,39) is the mid point of BC. If F is the mid point of AC then (BF)² is equal to?
 

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Grade:9

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
2 years ago
mid point of AB=((a+1+a2+1)/2,(a-1+a2-1)/2)=(11,9)
a2+a-20=0 ..(i)
and also mid point of BC a3+a2-80=0........(ii)
from (i) and (ii) a=4
now find A,B,C ,F by putting a

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