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Question

The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is


A

5x+4y+1=0

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B

-5x-4y+1=0

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C

-5x+4y+1=0

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D

5x-4y+1=0

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Solution

The correct option is D

5x-4y+1=0


If three points lie on a line then the area of the triangle

formed by them is 0.

[x(4+6) + 3(-6 - y) -5(y-4)] = 0

10x - 18 - 3y - 5y +20 = 0

10x - 8y + 2 = 0

5x - 4y + 1 = 0


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