If be the roots of the quadratic equation x2 + x + 1 = 0, then the equation whose roots are f is
x2 - x + 1 = 0
x2 - x - 1 = 0
x2 + x - 1 = 0
x2 + x + 1 = 0
The roots of the quadratic equation are
imaginary
real, rational and equal
real, irrational and unequal
real, rational and unequal
The quadratic equation x2 + 15 + 14 = 0 has
only positive solutions
only negative solutions
no solution
both positive and negative solution
C.
no solution
Case I: When x > 0, = x
Case II:
From Eqs. (i) and (ii) roots of given equation are not same. Therefore the given equation has no solution.
Two dice are tossed once. The probability of getting an even number at the first die or a total of 8 is
The probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then P(A') + P(B') is
0.9
0.15
1.1
1.2
In a right-angled triangle, the sides are a, b and c with c as hypotenuse and c - b 1, c + b 1. Then the value of (logc + b(a) + logc - b(a))/ (2logc + b(a) x logc - b(a)) will be
2
- 1
1
Sum of n terms of the following series 13 + 33 + 53 + 73 + ... is
n2(2n2 - 1)
n3(n - 1)
n3 + 8n + 4
2n4 + 3n2