Question

If A, B, C are three distinct collinear points, then which statement is true? O A-B-C. OA-C-B. OB-A-C. O All of these​

Answer 1

Answer:

Step-by-step explanation:

A (3,4) and B(7,7) and C(x,y) or C'(x,y) are collinear points.

AB = √[(7-3)²+(7-4)²] = 5

AC = 10,  given.

Slope of AC = slope of AB = (7-4)/(7-3) = 3/4

=> (y-4)/(x-3) = 3/4    --- (1)

=> 4 y - 3 x = 7    --- (2)

AC² = 10² = (y - 4)² + (x - 3)²

                = [ 3/4 * (x - 3) ]² + (x-3)²    

                = (x-3)² * 25/16

=>  x - 3 = + 8

=>  x = +11  or  -5

=>  y = (7+3x)/4    

        =  10  or  -2

C = (11, 10)   and   C' = (-5, -2)

Answer 2

Answer:

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Step-by-step explanation:

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