Home
Class 12
MATHS
If the expression (-3 I ^(2) + 2i )/(2 +...

If the expression `(-3 I ^(2) + 2i )/(2 +i)` is written in the form `a + bi,` where a and b are real numbers and `I = sqrt-1,` what is the value of a ?

Text Solution

Verified by Experts

The correct Answer is:
8/5 or 1.6
Promotional Banner

Topper's Solved these Questions

  • IMAGINARY NUMBERS

    KAPLAN|Exercise ARITHMETIC OPERATIONS WITH COMPLEX NUMBERS|1 Videos
  • IMAGINARY NUMBERS

    KAPLAN|Exercise ARITHMETIC OPERATIONS WITH COMPLEX NUMBERS|1 Videos
  • GEOMETRY

    KAPLAN|Exercise THREE-DIMENSIONAL FIGURES|1 Videos
  • INEQUALITIES

    KAPLAN|Exercise MODELING REAL-LIFE SITUATIONS WITH INEQUALITIES|1 Videos

Similar Questions

Explore conceptually related problems

If the expression (2-i)/(2 +i) is written as the complex number a + bi, where a and b are real numbers, then what is the value of a ? (Note: i = sqrt-1)

( 8 - i)/( 3 - 2i ) If the expression above is rewritten in the form a + bi , where a and b are real numbers, what is the value of a ? ( Note : i=sqrt ( -1) )

(2-i)/(5-2i) If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of -b written as a fraction? (Note: i^(2)=-1 )

Express the following in the form a+bi, where a and b are real numbers (1+i)/(1-i)

If i=sqrt(-1), and ((7+5i))/((-2-6i))=a+bi , where a and b are real numbers, then what is the value of |a+b| ?

Express the following in the form a+bi, where a and b are rea numbers ((1-i)/(1+ i))^(2)

Express the following in the form a+bi, where a and b are real numbers ((1 + i)/(1-i))^(3)

(3i +2)/(-i-3) If the expression above is expressed in the form a +bi, where I = sqrt-1, what is the value of b ?

(7 +i)/(8-i) If the expression above is expressed in the form a +bi, where I = sqrt(-1, what is the value of b ?

If the expression (1+2i)/(4 + 2i) is rewritten as a complex number in the form of a + bi, what is the value of a ? (Note i=sqrt-1)