Maths-
General
Easy
Question
If every pair from among the equations x2 + px + qr = 0, x2 + qx + rp = 0 and x2 + rx + pq = 0 have a common root, then is
-
-
- (p + q + r)2
- none of these.
The correct answer is:
Let , be the roots of x2 + px + qr = 0…(1)
, be the roots of x2 + qx + rp = 0…(2)
and , be the roots of x2 + rx + pq = 0…(3)
Since is a common root of (1), (2)
Similarly from (2) and (3), we get = p and from (3) and (1), = r
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