If 2a + 3b + 6c =0, then at least one root of the equation ax2 + bx+ c = 0 lies in the interval
-
(0,1)
-
(1,2)
-
(2,3)
-
(1,3)
A.
(0,1)
∴ One of the roots of ax2 + bx + c = 0 lies between 0 and 1.
If 2a + 3b + 6c =0, then at least one root of the equation ax2 + bx+ c = 0 lies in the interval
(0,1)
(1,2)
(2,3)
(1,3)
A.
(0,1)
The value of α for which the sum of the squares of the roots of the equation x2 – (a – 2)x – a – 1 = 0 assume the least value is
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If z1 and z2 are two non-zero complex numbers such that |z1 + z2| = |z1| + |z2| then argz1 – argz2 is equal to
If the equation anxn +an-1xn-1 +....... +a1x =0, a1 ≠ 0, n≥2, has a positive root x = α, then the equation nanxn-1 + (n-1)an-1xn-2 +......+a1 = 0 has a positive root, which is
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