Question

Check weather points A(1,-1), B(6,4) and C(4,2) are collinear​

Answer 1

Answer:

See The Attachment My Friend.......

See The Attachment My Friend.......Thank you so much.....

Answer 2

Step-by-step explanation:

If the given points are collinear,, then,

area of ∆ABC will be 0.

i.e.,ar(ABC)=0

Using Formula,,

$\mathtt{\boxed{\pink{ar(ABC)=(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))}}}$

For LHS,

ar(ABC)

$= (1(4 - 2) + 6(2 + 1) + 4( - 1 - 4)) \\ = (1 \times 2 + 6 \times 3 + 4 \times ( - 5)) \\ = 2 + 18 - 20 \\ = 20 - 20 = 0 \: \: .......(1)$

RHS=0 ........(2)

From equation 1 and 2 we get,,

LHS=RHS

Hence,, the given points are collinear..

❣️❣️!! Hope it helps!!❣️❣️