Please select a subject first
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State True or False for the following:
If z is a complex number such that z ≠ 0 and Re(z) = 0, then Im(z2) = 0.
Concept: undefined >> undefined
What is the conjugate of `(2 - i)/(1 - 2i)^2`?
Concept: undefined >> undefined
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If `(a^2 + 1)^2/(2a - i)` = x + iy, what is the value of x2 + y2?
Concept: undefined >> undefined
sinx + icos2x and cosx – isin2x are conjugate to each other for ______.
Concept: undefined >> undefined
If z = x + iy lies in the third quadrant, then `barz/z` also lies in the third quadrant if ______.
Concept: undefined >> undefined
Find the linear inequalities for which the shaded region in the given figure is the solution set.
Concept: undefined >> undefined
State which of the following statement is True or False.
If x < y and b < 0, then `x/"b" < y/"b"`
Concept: undefined >> undefined
State which of the following statement is True or False.
If xy > 0, then x > 0 and y < 0
Concept: undefined >> undefined
State which of the following statement is True or False.
If xy > 0, then x < 0 and y < 0
Concept: undefined >> undefined
Solution set of x + y ≥ 0 is
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A student has to answer 10 questions, choosing atleast 4 from each of Parts A and B. If there are 6 questions in Part A and 7 in Part B, in how many ways can the student choose 10 questions?
Concept: undefined >> undefined
In a small village, there are 87 families, of which 52 families have atmost 2 children. In a rural development programme 20 families are to be chosen for assistance, of which atleast 18 families must have at most 2 children. In how many ways can the choice be made?
Concept: undefined >> undefined
A boy has 3 library tickets and 8 books of his interest in the library. Of these 8, he does not want to borrow Mathematics Part II, unless Mathematics Part I is also borrowed. In how many ways can he choose the three books to be borrowed?
Concept: undefined >> undefined
In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?
Concept: undefined >> undefined
All the letters of the word ‘EAMCOT’ are arranged in different possible ways. The number of such arrangements in which no two vowels are adjacent to each other is ______.
Concept: undefined >> undefined
The straight lines l1, l2 and l3 are parallel and lie in the same plane. A total numbers of m points are taken on l1; n points on l2, k points on l3. The maximum number of triangles formed with vertices at these points are ______.
Concept: undefined >> undefined
We wish to select 6 persons from 8, but if the person A is chosen, then B must be chosen. In how many ways can selections be made?
Concept: undefined >> undefined
