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:
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Article 370 acknowledges the special status of the state of Jammu and Kashmir in terms of autonomy and its ability to formulate laws for the state's permanent residents. In the 1954 Presidential order, among other things, the Fundamental Rights in the Indian Constitution were made applicable to Kashmir with exceptions.
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α,β,γ,δ being G.P. they may be taken as k,kr,kr²,kr³
S=k(1+r)=3,kr² (1+r)=12
∴3r² =12 or r=2∴k=1
P=k²
r=a,k²r⁵ =b.
Putting for r and k, a=2,b=32.
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