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MATHEMATICS -2005

(Two hours and a half)

Question 6

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1.

 (a) In the figure, PM is a tangent to the circle and PA = AM. Prove that :
(i) ΔPMB is isosceles.
 

2.

 (ii) PA • PB = MB2.
 

3.

 (b) Find the value of x given that A2 = B
A =
⌈
⌊
 2 12
0 1
⌉
⌋
 B = ⌈
⌊
 4 x
0 1
⌉
⌋
 


 
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