1. If x = 2 + √3 and xy = 1, then the value of x2 + y2 is ?2. If a – b, a and a + b are the zeroes of the polynomial x3 – 3x2 + x + 1, then the value of a + b can be :- a) -1-√2 b) 1+ √2 c) -1+√2 d) 33. The Expression (x-y)3 - (X3-y3) is equal to :- a) 2x2 – 3x2y + 3xy2 + 2y2 b) 3xy (y-x) c) 3xy (x-y) d) 2x2 – 3x2y + 3xy24. If α, β and γ are the zeroes of the polynomial x3 + px2 + qx + 2 , such that αβ + 1, then the value of 2p – q – 3 is ?
Venkat Nihal , 12 Years ago
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4 Answers
Shaurya Gupta
Last Activity: 12 Years ago
Q2: (a-b)+(a)+(a+b)=-b/a=3/1
a=1
Now,
(a+b)(a-b)(a) = -d/a=-1
1-b2 = -1
b= 21/2
therefore a+b = 1+root2
Shaurya Gupta
Last Activity: 12 Years ago
3: (x-y)3= x3-3x2y+3xy2-y3 -1
x3-y3 = (x-y)(x2+xy+y2) -2
therefore,
1-2= 3xy(y-x)
Shaurya Gupta
Last Activity: 12 Years ago
1. Substitute x''s value in xy=1.
y will come 2-root3
there fore x2+y2 = 14
As for the 4rth question
"such that αβ + 1" what?..such that what?
varun a
Last Activity: 12 Years ago
1.7,;y=-2+/3
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