if the point A (-2,1)B,(a,b) and C (4,-1)are collinear and a-b=1. find the value of a and b
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Given points
(-2,1)(a,b),(4,-1)
For collinear!
-2(b+1)+a(-1-1)+4(1-b)=0
-2b-2-2a+4-4b=0
-2a -6b +2=0
2a +6b=2
a +3b=1 eq1)
Now a-b=1
a=b+1
Put in eq1)
b+1+3b=1
4b=0
b=0 ans
a= b+1
=0+1=1 ans
(-2,1)(a,b),(4,-1)
For collinear!
-2(b+1)+a(-1-1)+4(1-b)=0
-2b-2-2a+4-4b=0
-2a -6b +2=0
2a +6b=2
a +3b=1 eq1)
Now a-b=1
a=b+1
Put in eq1)
b+1+3b=1
4b=0
b=0 ans
a= b+1
=0+1=1 ans
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