Multiple choice

Let from a point A(3,3) on the circle $x^{2}+y^{2}=18$ two chords AB and AC each of one unit length are deawn. Then equation of BC is:

  1. 6x+6y-35=0

  2. 6x+6y+37=0

  3. x+y+6=0

  4. x+y-6=0
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A Correct answer
Explanation

Point A(3,3) is on the circle x^2+y^2=18. Chords AB and AC have length 1. The distance from the center (0,0) to the chord BC can be found using geometry. The calculation leads to the line 6x+6y-35=0.

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