Question

Prove that the points (5,1) (1,-1)and 11, 4 are collinear by using Section formula

Answer 1

brother please at first you have to consider three point A and B and C after then you have to find the distance between ab and bc and ac and after then you have to compare ac+ab=bc

Answer 2

Answer:We have to prove that the given points are collinear.

Step-by-step explanation:

Here,

A(5,1)

B(1,-1)

C(11,4)

So the distance between AB is given by -

AB=√(5-1)^2+(1+1)^2 ==>√4^2+2^2 ==>√16+4 ==> √20==>2√5.

Now the distance between BC,

BC=√(11-1)^2+(4+1)^2 ==>√10^2+5^2==> √125==> 35.

Now the distance between AC,

AC= √(11-5)^2+(4-1)^2 ==>√6^2+3^2==>3√5.

Now as AB+AC is less than BC, therefore these points are collinear.

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