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MATHEMATICS - 2007

(Two hours and a half)

Question 2

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6.

(a) In the given figure, O is the centre of the circle and ∠PBA= 45°. Calculate the value of ∠PQB.
 

7.

(b) In an equilateral ΔABC of side 14 cm, side BC is the diameter of a semi-circle as shown in the figure below. Find the area of the shaded region.
(Take π = 22/7 and √3 = 1.732)
 

8.

(c)
If x = √a + 3b + √a − 3b

√a + 3b − √a − 3b
, prove that 3bx2 − 2ax + 3b = 0
 


 
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