Test Details

Test : Chapter 5 And 9

Nov 11, 8:00 PM

60 minutes

Nov 11, 9:00 PM

40.0 marks

MCQ

40 questions

ABS ACADEMY

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Maths

Class 11th

Maths

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Question Text

Question 4 :
Evaluate:${ \left( \dfrac { 1+\cos { \dfrac { \pi  }{ 6 } -i\sin { \dfrac { \pi  }{ 6 }  }  }  }{ 1+\cos { \dfrac { \pi  }{ 6 } +i\sin { \dfrac { \pi  }{ 6 }  }  }  }  \right)  }^{ 6 }$

Question 5 :
The value of ${\left( {1 + i} \right)^5} \times {\left( {1 - i} \right)^5}$ is

Question 6 :
Two complex numbers are represented by ordered pairs $z_1: (a,b)\ \&\ z_2: (c,d)$, when these two complex numbers are equal?

Question 7 :
If $\cos { \left( \log { { i }^{ 4i } }  \right)  } =a+ib$, then

Question 8 :
Find all complex numbers $z$ which satisfy the following equation $z=-\bar { z }$

Question 9 :
Two complex numbers are represented by ordered pairs $z_1: (3,4)\ \&\ z_2: (4,5)$, which of the following is correct representation for $z_1\times z_2=$?

Question 11 :
The real part of $(1 - \cos\theta + 2i \sin\theta)^{-1}$ is:

Question 12 :
Which of the the following is correct representation of the complex number: $(a,b)$

Question 14 :
Two complex numbers are represented by ordered pairs $z_1: (2,4)\ \&\ z_2: (-4,5)$, which of the following is real part for $z_1\times z_2=$?

Question 15 :
The locus of complex number z such that z is purely real and real part is equal to - 2 is

Question 17 :
Two complex numbers are represented by ordered pairs $z_1: a+ib\ \&\ z_2: c+id $, which of the following is correct representation for $z_1- z_2=$?

Question 18 :
If $\cfrac { { \left( p+i \right) }^{ 2 } }{ 2p-i } =\mu +i\lambda $, then $\mu^2+\lambda^2$ is equal to

Question 22 :
Find the wrong term in sequence :73, 77, 79, 83, 89, 97

Question 23 :
If X, Y, Z, P are points on a line, X, Y have coordinates -7, 11 with respect to an origin on the line and $XZ = ZY = PY = 9$, $ZP = 18$, then which one of the following is the correct sequence ?

Question 25 :
If the sum of the coefficient in the expansion of $(1+2x)^{n}$ is $6561$, the greatest term in the expansion for $x=\dfrac{1}{2}$ is

Question 26 :
Which letter will be the fifth from the right if the first and second, the third and fourth and so on are interchanged among each other in the word "COMPANIONATE"?

Question 28 :
Identify which of the following list of numbers is a sequence?

Question 29 :
________ can be defined as arrangement of terms in which sequence of terms follow some conditions.

Question 31 :
When each term of a sequence is connected using $a +$ or $a -$ sign, then it is referred to as the _____ of numbers.

Question 33 :
Identify which of the sequences below is a not a progression.

Question 38 :
The average IQ of $4$ people is $110$. If three of these people each have an IQ of $105$, what is the IQ of the fourth person?

Question 39 :
Find the least value of n for which the series $3+6+9+....\dots$ upto $n$ terms exceeds $1000$.

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