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Standard XII

Mathematics

Locus

Q. The number...

Question

Q. The number of lines passing through origin and situated at a distance 1 unit from (0,0) is ?
Can x-axis & y-axis be the two lines satisfying the given condition ? If not, why?

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Solution

There is no such line.
A line passing through origin will be at a distance of 0 units from (0,0). That is what passing through it means.

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Similar questions

Q. Find the equations to the straight lines passing through the point of intersection of the straight lines

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and

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and
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(3) cutting off a given distance a from the axis of

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Q. The number of lines passing through origin and situated at a distance 1 unit from (0,0) is ? Can x-axis & y-axis be the two lines satisfying the given condition ? If not, why?

There is no such line. A line passing through origin will be at a distance of 0 units from (0,0). That is what passing through it means.

Q. The number of lines passing through origin and situated at a distance 1 unit from (0,0) is ?
Can x-axis & y-axis be the two lines satisfying the given condition ? If not, why?

There is no such line.
A line passing through origin will be at a distance of 0 units from (0,0). That is what passing through it means.