If the points A(x,2) , B(-3,4) and C(7,-5) are collinear then find value of x
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Solution:‐It is given that the three points A(x, 2), B(−3, −4) and C(7, −5) are collinear. Thus, the value of x is − 63.
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Soln:-
x = -7/9
Expln:-
Colinear points :-
condition is Area of the trngl = 0
A(x,2) , B(-3,4) C(7,-5)
A=1/2|x1(y2−y3)+x2(y3−y1)+x3(y1−y2)|
x(9)-3(-7)+7(-2) = 0
9x+21-14 = 0
x = -7/9
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