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Question

Consider the equation y−y1=m(x−x1). If m and x1 are fixed and different lines are drawn for different values of y1, then

A
The lines will pass through a fixed point
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B
There will be a set of parallel lines
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C
All the lines intersect the line x=x1
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D
All the lines will be parallel to the line y=x1
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Solution

The correct options are
B There will be a set of parallel lines
C All the lines intersect the line x=x1

yy1=m(xx1)
It passes through (x1,y1)
As y1 is changing, so there is no fixed point
By changing y1, a set of parallel lines will be obtained

Hence, B, C


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