Solutions to this question by accurate drawing will not be accepted. The points A and B are (4, 3) and (12, −7) respectively.
- (a)Find the equation of the line L, the perpendicular bisector of the line AB.[4]
- (b)The line parallel to AB which passes through the point (5, 12) intersects L at the point C. Find the coordinates of C.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [1] (a) Finds coordinates of mid-point (8,-2)
- [1] (a) m_AB = (3-(-7))/(4-12) = 10/-8 = -5/4 oe soi
- [1] (a) m_L = -1/(-5/4) = 4/5 oe
- [1] (a) y+2=(4/5)(x-8) oe isw
- [1] (b) y-12=-(5/4)(x-5)
- [1] (b) Attempts to solve their equations
- [2] (b) (13, 2)
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