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MATHEMATICS - 2006

(Two hours and a half)

Question 11

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43.

(a) Find the coordinates of the centroid of a triangle whose vertices are:
A (−1, 3), B (1, −l) and C (5, 1)
(Leave no spaces in your answer.)
 

44.

(b) Use a ruler and a pair of compasses to construct ΔABC in which BC = 4.2 cm, ∠ABC = 60° and AB = 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ABC of ΔABC.
 

45.

(c) A shop keeper buys a certain number of books for Rs. 720. If the cost per book was Rs. 5 less, the number of books that could be bought for Rs. 720 would be 2 more. Taking the original cost of each book to be Rs. x, write an equation in x and solve it.
 


 
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