In the following question, three equations are given.
I. x2 - 5x - 84 = 0
II. y2 + 25y + 156 = 0
III. 3z2 – (3 + √3) z + √3 = 0
Let, the magnitude of common root of I and II is (a) and bigger root of III is (b) then determine which relation between a and b will be true?
1
a < b
2
a = b
3
a2 + b2 < Sum of other roots of eq(1) & eq(2)
4
a2 + b2 > Sum of other roots of eq(1) & eq(2)
5
None of these