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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?

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?

Grade:Upto college level

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 years ago
Ans:

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

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