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Let, ax+by+c=0 be a variable straight li...

Let, ax+by+c=0 be a variable straight line, where, a, b, c are `1^(st),3^(rd)` and `7^(th)` terms of an increasing AP, then the variable straight line always pases through a fixed point, whose abscissa is:

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Let .d. be the common difference of AP, then b=a+2d and C=a+6d
`therefore(b-a)^3=c-a` `implies2a-3b+c=0`
`therefore` The variable straight line passes through (2,-3).
`therefore` The abscissa = 2
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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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