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MATHEMATICS - 2006

(Two hours and a half)

Question 2

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5.

(a) Show that 2x + 7 is a factor of 2x3 + 5x2 − 11x − 14. Hence, factorise the given expression completely, using the factor theorem.
 

6.

(b) The median of the following observations 11, 12, 14, 18, (x + 4), 30, 32, 35, 41 arranged in ascending order is 24. Find x.
 

7.

(c)

In the above figure, ∠BAD = 65°, ∠ABD = 70° and ∠BDC = 45°.
Find :-
(i) ∠BCD
 

8.

(ii) ∠ADB
Hence show that AC is a diameter.
(Type in the answers separated by commas. Leave no spaces around the commas.)
 


 
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