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Class 11 Maths Mcqs

Q:

1/z is _________________ for complex number z.

A) additive inverse B) additive identity element
C) multiplicative identity element D) multiplicative inverse
 
Answer & Explanation Answer: D) multiplicative inverse

Explanation: On multiplying reciprocal of complex number (1/z) to complex number z, we get multiplying inverse one i.e. z*1=z.

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Q:

-z is _________________ for complex number z.

A) additive inverse B) additive identity element
C) multiplicative identity element D) multiplicative inverse
 
Answer & Explanation Answer: A) additive inverse

Explanation: On adding negative of complex number (-z) to complex number z, we get additive identity element zero i.e. z+(-z)=0.

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86
Q:

1+0i is _________________ for complex number z.

A) additive inverse B) additive identity element
C) multiplicative identity element D) multiplicative inverse
 
Answer & Explanation Answer: C) multiplicative identity element

Explanation: On multiplying one (1+0i) to a complex number, we get same complex number so 1+0i is multiplicative identity element for complex number z i.e. z*1=z.

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146
Q:

0+0i is ______________________for complex number z.

A) additive inverse B) additive identity element
C) multiplicative identity element D) multiplicative inverse
 
Answer & Explanation Answer: B) additive identity element

Explanation: On adding zero (0+0i) to a complex number, we get same complex number so 0+0i is additive identity element for complex number z i.e. z+0 = z.

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150
Q:

(x+3) + i(y-2) = 5+i2, find the values of x and y.

A) x=8 and y=4 B) x=2 and y=4
C) x=2 and y=0 D) x=8 and y=0
 
Answer & Explanation Answer: B) x=2 and y=4

Explanation: If two complex numbers are equal, then corresponding parts are equal i.e. real parts of both are equal and imaginary parts of both are equal.
x+3 = 5 and y-2 = 2
x = 5-3 and y = 2+2
x=2 and y=4.

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142
Q:

In z=4+i, what is imaginary part?

A) 4 B) i
C) 1 D) 4+i
 
Answer & Explanation Answer: C) 1

Explanation: In z=a+bi, a is real part and b is imaginary part.
So, in 4+i, imaginary part is 1.

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129
Q:

What will be P(k + 1) for P(n) = n³ (n + 1)?

A) (k + 1)? B) k4 + 5k³ + 9k² + 7k + 2
C) k4 + 6k³ + 9k² + 7k + 2 D) k4 + 3k³ + 9k² + 6k + 2
 
Answer & Explanation Answer: B) k4 + 5k³ + 9k² + 7k + 2

Explanation: Not available for this question

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101
Q:

n³ + 5n is divisible by which of the following?

A) 3 B) 5
C) 7 D) 11
 
Answer & Explanation Answer: A) 3

Explanation: Not available for this question

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