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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Equations (b−c)x+(c−a)y+(a−b)=0(b-c) x+(c-a) y+(a-b)=0 \quad and (b3−c3)x+(c3−a3)y+(a3−b3)=0\left(b^3-c^3\right) x+\left(c^3-a^3\right) y+\left(a^3-b^3\right)=0 \quad (where, a,ba, b and cc are not all equal) will represent the same line, if
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Correct option: D
a+b+c=0a+b+c=0
Option D (a+b+c=0a+b+c=0) is correct because it satisfies the condition for the two given equations to represent the same line.

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