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Question: Answered & Verified by Expert
Consider the equation $y-y_1=m\left(x-x_1\right)$. If $m$ and $x_1$ are fixed and different lines are drawn for different values of $y_1$, then
MathematicsStraight LinesWBJEEWBJEE 2022
Options:
  • A the lines will pass through a fixed point
  • B there will be a set of parallel lines
  • C all lines intersect the line $x=x_1$
  • D all lines will be parallel to the line $y=x_1$
Solution:
1613 Upvotes Verified Answer
The correct answers are: there will be a set of parallel lines, all lines intersect the line $x=x_1$
$m$ and $x_1$ are fixed and $y_1$ is variable


Hence, (B) There will be a set of parallel lines
(C) All lines intersect the line $x=x_1$

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