Properties of Iota
Trending Questions
Q. If [x]2−7[x]+10>0, then x lies in the interval
(Here, [.] denotes the greatest integer function)
(Here, [.] denotes the greatest integer function)
- [6, ∞)
- (−∞, 2)
- (−∞, 3)
- [5, ∞)
Q. The positive integer n for which 2×22+3×23+4×24+…+n×2n=2n+10 is
- 510
- 511
- 512
- 513
Q. If a and b are positive integers, f is a function defined for positive numbers and attains only positive values such that f(yf(x))=xayb, then
- a2=b
- b=a
- b2=a
- b3=a
Q. x2+y2+xy=1 for all x, y∈R, the minimum value of x3y+xy3+4 is
(correct answer + 1, wrong answer - 0.25)
(correct answer + 1, wrong answer - 0.25)
- 1
- 3
- 4
- 2
Q. 1+i2+i4+i6+.....+i2n is [EAMCET 1980]
Positive
- Negative
- Zero
- Cannot be determined
Q. 1+i2+i4+i6+.....+i2n is [EAMCET 1980]
Positive
- Negative
- Zero
- Cannot be determined
Q. If a>b, where a, b<0, then ar<br when
- r=4
- r=−3
- r=−2
- r=7
Q. The value of i592+i590+i588+i586+i584i582+i580+i578+i576+i574−1=
- -1
- -2
- -3
- -4
Q. If n is an odd integer, then (1+i)6n+(1−i)6n=
- 2i
- −2i
- 0
- −2
Q. (1+i1−i)2+(1−i1+i)2 is equal to
- 2i
- -2i
- -2
- 2
Q. (1+i1−i)2+(1−i1+i)2 is equal to
- 2i
- -2i
- -2
- 2
Q. The value of 100∑n=0in! equals (where i=√−1)
- −1
- i
- 2i+95
- 97+i