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Grade Upto college levelAlgebra

The points(2,3) and (3,5) are on the same side of the line 3x-5y+a=0 if (a-9)(a-16) is?

Profile image of Srijan
12 Years agoGrade Upto college level
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1 Answer

Profile image of Jitender Singh
11 Years ago
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Hello Student,
Please find answer to your question below

If the both the points are on the same side of the line, then the value of the straight line on these points should be of same sign.
3x - 5y + a = 0
At (2,3)
3(2) - 5(3) + a
a-9
At (3,5)
9-25+a
a-16
Then
(a – 9)(a – 16) > 0