36.22. A, B, C are collinear points and B lies between A and C. A and

1.	36.22. A, B, C are collinear points and B lies between A and C. A and B10 units, find the co-are (3, 4) and (7, 7) respectively. Findcoordinates of C.
Answer» 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] = 5AC = 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 using (1) = (x-3)² * 25/16=> x - 3 = + 8=> x = +11 or -5 => y = (7+3x)/4 by (2) = 10 or -2 C = (11, 10) and C' = (-5, -2)

36.22. A, B, C are collinear points and B lies between A and C. A and B10 units, find the co-are (3, 4) and (7, 7) respectively. Findcoordinates of C.

Answer»

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] = 5AC = 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 using (1) = (x-3)² * 25/16=> x - 3 = + 8=> x = +11 or -5

=> y = (7+3x)/4 by (2) = 10 or -2

C = (11, 10) and C' = (-5, -2)