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M4U-9709-CG26-E-PP028 marks

E-PP02 · A vertical diagonal

\(A=(3,-4)\), \(B=(3,8)\). Point C is equidistant from A and B and lies on \(x+2y=11\).

State the gradient of AB and find its perpendicular bisector.

[2]

Find C and the exact lengths CA and CB.

[3]

D is the reflection of C in AB. Find D and the area of quadrilateral ACBD.

[3]
An equidistant point beside a vertical segmentVertical segment AB with given endpoints and a point C on the line x+2y=11; CA=CB.A(3,−4)B(3,8)Cx + 2y = 11
Schematic; C is to be found from the two conditions.

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