1) Given that α , β are the roots of the equation x² - 3x + a = 0 and γ , δ are the roots of the equation x² - 12x + b= 0. If α , β , γ , δ form an increasing G. P., then the ordered pair (a, b) is equal to:
A) (3 , 12)
B) (12 , 3)
C) (2 , 32)
D) (4 , 16)
2) Find the sum of the series upto 30 terms :
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1² + 2² - 3² + 4² + 5² - 6² + 7² + 8² - 9² + ....
A) 2425 B) 2525 C) 2524 D) 2562
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