Maths-
General
Easy
Question
At the origin of a two-dimensional plane, Sam is standing. He moves two units to the east, and three units to the north. His new position can be defined in complex form as ____
Hint:
Hint:
The Argand plane is a plane which is used to represent a complex number in a two-dimensional plane. The argand plane is same as the coordinate plane, and a complex number z = x + iy is plotted as a point (x, y). So, in an argand plane, the y-axis represents the imaginary number axis and the x-axis represents the real number axis.
The correct answer is: the new position of Sam in the complex form is 2+3i.
Let’s say the North-South pole represents the imaginary number axis and the East-West pole represents the real number axis.
As per the given instructions in the question, the final position of Sam is given in the following argand plane
![](data:image/png;base64,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)
We can see that the coordinates of the final position of Sam is F(2,3). So, the complex form of the new position is 2+3i
Final Answer:
Hence, the new position of Sam in the complex form is 2+3i.
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Which of the following is equivalent to ![2 x open parentheses x squared minus 3 x close parentheses ?](data:image/png;base64,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)
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Maths-General
Maths-
![](data:image/png;base64,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)
The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?
![](data:image/png;base64,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)
The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?
Maths-General
Maths-
Check if the number is rational or irrational for 83.396668…
Check if the number is rational or irrational for 83.396668…
Maths-General
Maths-
Check if the number is rational or irrational for
( Golden ratio)
Check if the number is rational or irrational for
( Golden ratio)
Maths-General
Maths-
![f left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 end fraction](data:image/png;base64,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)
For the function f defined above, what is the value of f(-1)?
![f left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAAjCAYAAAAZm21MAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAnBJREFUeNrtmkFEBFEYx0eyki5J9pDE6pAOiT1krSSSZA+JDqtDEkmSbh07dEmHJN06dOgQyUpWliRZK5EkHdKlU7p12ENWlu3/+FbTNDPNzJs3tc334087r32z+/f2e9//7WoaI8MgdAK9QSXoEdqEWtgaNZxD41BEd60XyrE17qhIPr8YJrNmoDWT66s0ptrwGPQQthV6A0V1j6ehbcUrPEr3EXV8NGyGj0Ab9PcQdKawpFQMWgprHT6FBqBbB11DxYF+ohkag67ovqFDrLR3qCfgTbOJTA8VSeiQykr6F7qUkl9vZN6iA7BjjZ4XFKJLOIYaabVdewgiMob30MbpijrDLl+d6NLjiyh4/Gi7pZWSn97gFLSnyPALaAKqJ89E8nyCptzu8K+ke5qsalqvRyPiUF6x2SLtZaA2k7F9el9+0w9lqYSUKHmm3EwgzH3WGduti6sFyReXJ+MZHeO0GoysQwuScy96qP//nhVo2eR6jj4+MjE64SGA/GsyhkY/bTiMiUjG6IhmfajjR/CoScShS7vJ9bJPMfqd1/XXVvDNYqzsU4xWYXilRvSNPmprzLArKU5jNJcUA6Jm79qs4KRkjOZN08AWNGsxZtUWuonRCzQPo+tSrA7OzYKP2xjNwceAiPINNuOXuhrtNkYHEe1rCrFaX374n1o4vPJKdR8q0uYvuq1JVTfbpP7bSeye8xDP1232hr/CBW34TfS4mxZJWsXN4nSGwnylA7pjG4KlxBYER0KTP5JmHCK6tSubsMf4iPi5wxE0zFaoJ0Zmd7IV6umCduiYglGM+ALlQPv8wpxRTJZWOBMQgZ3DfwD07877m+hVvwAAALV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+ZjwvbWk+PG1vPig8L21vPjxtaT54PC9taT48bW8+KTwvbW8+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4zPC9tbj48L21yb3c+PG1uPjI8L21uPjwvbWZyYWM+PC9tYXRoPsMYfucAAAAASUVORK5CYII=)
For the function f defined above, what is the value of f(-1)?
Maths-General
Maths-
If ,
what is the value of 3x ?
If ,
what is the value of 3x ?
Maths-General
Maths-
Check if the number is rational or irrational for 89.402106106106106……..
Check if the number is rational or irrational for 89.402106106106106……..
Maths-General
Maths-
Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?
Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?
Maths-General
Maths-
what is the value of ![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?](data:image/png;base64,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)
what is the value of ![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?](data:image/png;base64,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)
Maths-General
Maths-
Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?
Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?
Maths-General
Maths-
A text messaging plan charges a flat fee of
per month for up to 100 text messages sent plus
for each additional text message sent that month. Which of the following graphs represents the cost, y , of sending texts in a month?
A text messaging plan charges a flat fee of
per month for up to 100 text messages sent plus
for each additional text message sent that month. Which of the following graphs represents the cost, y , of sending texts in a month?
Maths-General
Maths-
Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)
Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)
Maths-General
Maths-
Explain whether the following are rational or irrational and justify it.
![stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below](data:image/png;base64,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)
Explain whether the following are rational or irrational and justify it.
![stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below](data:image/png;base64,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)
Maths-General