Question

The equations of the lines passing through the point \( (1,0) \) and at a distance \( \frac{\sqrt{3}}{2} \) from the origin are

• A. \( \sqrt{3}x + y - \sqrt{3} = 0, \; \sqrt{3}x - y - \sqrt{3} = 0 \)
• B. \( \sqrt{3}x + y + \sqrt{3} = 0, \; \sqrt{3}x - y + \sqrt{3} = 0 \)
• C. \( x + \sqrt{3}y - \sqrt{3} = 0, \; x - \sqrt{3}y - \sqrt{3} = 0 \)
• D. None of the above

Hint:

Use slope form for line through a point, then apply distance formula to find possible slopes.

Answer 1

The Correct Option is A