Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Try this! - Complex numbers and quadratic equations - JEE Main-8

Let   \frac{z_{1}}{z_{2}}= 3-4i, \: \frac{z_{2}}{z_{3}}= 12+5i  and  \left |z_{1} \right |= 5  then  \left |z_{3} \right |  equals 

  • Option 1)

    13

  • Option 2)

    \frac{1}{13}

  • Option 3)

    325

  • Option 4)

    \frac{1}{325}

 

Answers (1)

\left | \frac{z_{1}}{z_{2}} \right |=\frac{\left |z_{1} \right |}{\left |z_{2} \right |}=5\cdots \cdots \left ( 1 \right )

\left | \frac{z_{2}}{z_{3}} \right |=\frac{\left |z_{2} \right |}{\left |z_{3} \right |}=13\cdots \cdots \left (2 \right )

\frac{\left |z_{1} \right |}{\left |z_{3} \right |}=65

Since \left |z_{1} \right |=5\Rightarrow \left |z_{3} \right |=\frac{5}{65}=\frac{1}{13}

\therefore Option (B)

 

Property of Modulus of z(Complex Number) -

\left |\frac{z_{1}}{z_{2}} \right |=\frac{\left |z_{1} \right |}{\left |z_{2} \right |}

- wherein

|.| denotes modulus of complex number

 

 


Option 1)

13

This is incorrect

Option 2)

\frac{1}{13}

This is correct

Option 3)

325

This is incorrect

Option 4)

\frac{1}{325}

This is incorrect

Posted by

subam

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 January 22 shift 1, 2 unofficial answer keys out; question paper solutions
anam-khan

JEE Main 2025 January 22 Shift 2 Exam Analysis: Theory-based questions from chemistry, maths rated lengthy
anam-khan

NTA moves JEE Main 2025 to January 28, 29 for 114 candidates citing technical snag at Karnataka centre

Latest Question