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Question

If the points (1,2) and (3,4) were to be on the same side of the line 3x-5y+a=0 then



A

7<a<11

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B

7<a<11

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C

a=11

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D

a<7 or a>11

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Solution

The correct option is D

a<7 or a>11


The points \( (x_1,y_1) \space and \space (x_2,y_2)\) lie on the same side of the line L=0 if L11.L22 >0 Here L=3x−5y+a=0

(310+a)(920+a)>0

(a7)(a11)>0 a<7 or a>11


Mathematics

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