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Question

Equation of a line through the origin and perpendicular to the line joining a,0 and -a,0 is


A

y=0

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B

x=0

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C

a=a

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D

y=a

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Solution

The correct option is B

x=0


Evaluate the slope of the line:

The slope of the line passing through (a,0) and (-a,0) is m=(y2y1)(x2x1)

=0(-aa)

=0

It is the x-axis.

So, the required line passing through the origin and perpendicular to the x-axis is the y-axis.

As we know, the Equation of the y-axis is x=0

Hence, Option ‘B’ is Correct.


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