Question

In a colony, three friends Kiran, Manoj and Prakash resides at points A, B and C respectively.
of Kiran and Manoj are in I quadrant and all three houses are collinear.
(a)
IFA(5,8), B (1,4) and C (x, 2) then find the value of x.​

Answer 1

x = -1 IF A(5,8), B (1,4) and C (x, 2) are collinear

Step-by-step explanation:

all three houses are collinear.

Slope of AB = Slope of AC = Slope of BC

A = (5 , 8)

B = ( 1, 4)

C = (x , 2)

Slope of AB =  (4 - 8)/(1 - 5)

= -4/(-4)

= 1

Slope of AC =  (2 - 8)/(x - 5)

= -6/(x - 5)

= 6/(5 - x)

6/(5 - x) = 1

=> 6 = 5 - x

=> x = -1

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