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Q.

How many lines can be drawn which are perpendicular to a given line and pass through a given point lying outside it?


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a

1

b

2

c

3

d

4 

answer is A.

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Detailed Solution

We know that only one line can be drawn from given two points.
According to the question, the required line should pass through an outside point as well as it should meet a line perpendicularly.
There are infinite lines than can pass through the outside point and intersect another line.
But only one line forms 90° with another line.
So, there is only one line.
As a result, option 1 is correct.
 
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