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# Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log

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## 30 Questions MCQ Test JEE Main & Advanced Mock Test Series | Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log for JEE 2022 is part of JEE Main & Advanced Mock Test Series preparation. The Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log questions and answers have been prepared according to the JEE exam syllabus.The Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log below.
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Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 1

### If z is any complex number such that then the value of is

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 2

### If z is any complex number satisfying |z–1|=1, then which of the following is correct ?

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 3

### If z satisfies |z+1| < |z–2| , then w = 3z+2+i satisfies

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 4
The triangle formed by the points 1, and i as vertices in the argand diagram is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 5
For any complex number z, the minimum value of |z|+|z–1| is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 6

If (a ib)(c id)(e if)(g ih) = A iB, then (a2+b2) x (c2+d2) (e2+f2)(g2+h2) is equal to

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 7

In how many ways 7 men and 7 women can be seated around a round table such that no two women can sit together ?

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 8
A lady gives a dinner party to six guests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 9

How many numbers less than 40,000 can be formed from the digits 1,2,3,4,5 where repetition is not allowed ?

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 10
The sum of the digits at the unit place of all the numbers formed with the help of 3,4,5,6 taken all at a time is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 11
If then n is equal to
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 12
The letters of the word RANDOM are written in all possible orders and these words are written out as in dictionary. Then the rank of the word RANDOM is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 13
The straight lines are parallel and lie in the same plane. A total number of m points are taken on n points on ,k Points on The maximum number of triangles formed with vertices of these points are
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 14

Number of divisors of the form 4n+2 of the integer 240 is

Detailed Solution for Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 14

Hence there are four such numbers.

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 15
Given 5 different green dyes, 4 different blue dyes and 3 different red dyes. The number of combinations of dyes which can be chosen taking at least one green and one blue dye is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 16

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 17
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 18
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 19
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 20
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 21
Let x be an irrational, then equals
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 22
If f(a) = 2, f`(a) = 1, g(a) = –1, g`(a) = 2,then value of is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 23
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 24
If G(x) = ,th is
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 25
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 26

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 27

If x = a b,y = aω + bω, z = aω2 + bω then xyz is equal to

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 28
The value of the sum where i = ,equals
Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 29

The smallest positive number n for with (1 + i)2n = (1– i)2n is

Mathematics Test 12 - Complex Numbers, Permutation And Combination, Limits And Log - Question 30

If z is a complex number such that z ≠ 0 and Re(z) =0, then

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