All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

(ii)

Observe we let , then

(iii)

(iv)

Both perpendicular bisector are parallel to each other, so there will be no point of intersections.

### KS Comments:

Students should be cautious to leave their answers in cartesian form in (i). For (ii), students can solve by otherwise methods, that is, to use the quadratic formula

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