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Help needed for Maths (4024)!!!

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Can sum1 plz explain 2 me how to do maths (4024) 2011 oct-nov p11 q24(d)(ii), n 2011 oct-nov p12 q27(b)(ii).
plz reply ASAP xam iz 2moro!!:(
 
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2011 Oct-Nov P11 q24(d)(ii) :

Use similar triangles method.

DQ/QP = AQ/QR

QR = AR - AQ

QR = (2p/3) + (3kq - 5q)/6

Put everything in DQ/QP = AQ/QR

And solve for k.
 
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