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Question: Answered & Verified by Expert
The intercept cut off from $y$-axis is twice that from $x$-axis by the line and line is passes through $(1,2)$ then its equation is
MathematicsStraight LinesJEE Main
Options:
  • A $2 x+y=4$
  • B $2 x+y+4=0$
  • C $2 x-y=4$
  • D $2 x-y+4=0$
Solution:
2630 Upvotes Verified Answer
The correct answer is: $2 x+y=4$
Let the intercept be $a$ and $2 a$, then the equation of line is $\frac{x}{a}+\frac{y}{2 a}=1$, but it also passes through $(1,2)$,
therefore $a=2$
Hence the required equation is $2 x+y=4$

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