Q.

Consider the equation y-y1=m(x-x1). In this equation, if m and x1 are fixed and different lines are drawn for different values of y1, then

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a

the lines will pass through a single point

b

there will be one possible line only

c

there will be a set of parallel lines

d

none of these

answer is C.

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Detailed Solution

We have, y-y1=m(x-x1), where m and x1 are fixed. Therefore, the system represents a set of parallel lines of hope m.
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Consider the equation y-y1=m(x-x1). In this equation, if m and x1 are fixed and different lines are drawn for different values of y1, then