Home
Class 12
MATHS
If z(1)= sqrt(2)(cos ""(pi)/(4)+ isin""(...

If `z_(1)= sqrt(2)(cos ""(pi)/(4)+ isin""(pi)/(4))" and "z_(2)= sqrt(3)(cos ""(pi)/(3)+ isin"" (pi)/(3))`, then `|z_(1)z_(2)|` is

A

`6`

B

`sqrt(2)`

C

`sqrt(6)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3), then z_(1), z_(2) …. Z_(6) is

If z = cos (pi)/(4) + i sin (pi)/(6) , then

Find the product of z_(1) and z_(2) If z_(1)=2(cos.(pi)/(3)+isin.(pi)/(3)) and z_(2)=3(cos.(2pi)/(3)+isin.(2pi)/(3))

Prove that 32 (sqrt(3)) sin"" (pi)/(48) cos"" (pi)/(48) cos"" (pi)/(24) cos"" (pi)/(12) cos"" (pi)/(6) = 3

Let z_(1)=(2sqrt(3)+ i6sqrt(7))/(6sqrt(7)+ i2sqrt(3))" and "z_(2)=(sqrt(11)+ i3sqrt(13))/(3sqrt(13)- isqrt(11)) . Then |(1)/(z_1)+(1)/(z_2)| is equal to

sin ^(2) " (pi)/(6) + cos ^(2) "" (pi)/(3) - tan ^(2) " (pi)/(4) =- 1/2

If z_(1)= 2sqrt(2)(1+i)" and "z_(2)=1+isqrt(3) , then z_(1)^(2)z_(2)^(3) is equal to

The value of (cos"" (pi)/(2)+isin ""(pi)/(2))(cos ((pi)/(2^2))+isin((pi)/(2^2))) (cos ((pi)/(2^3))+isin((pi)/(2^3)))" ………."oo is

(i) If i= sqrt(-1) , find the sum of i+i^(2)+i^(3)+"…….."i^(99) (ii) Convert (1-i)/(cos ""(pi)/(4)+ isin ""(pi)/(4)) into (a) a+ib (b) polar form.

If Z_r =cos ((pi)/(2^r))+isin((pi)/(2^r)) then Z_(1).Z_(2).Z_(3)"…….." upto oo equals

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The value of (cos 30^(@)+isin 30^(@))/(cos 60^(@)-isin 60^(@)) is equa...

    Text Solution

    |

  2. If z=r(cos theta+ isin theta), then the value of (z)/(bar z)+(barz)/(z...

    Text Solution

    |

  3. If z(1)= sqrt(2)(cos ""(pi)/(4)+ isin""(pi)/(4))" and "z(2)= sqrt(3)(c...

    Text Solution

    |

  4. The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal ...

    Text Solution

    |

  5. If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0, where...

    Text Solution

    |

  6. If the roots of the equation x^(2)-bx+c=0 are two consecutive integers...

    Text Solution

    |

  7. If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne...

    Text Solution

    |

  8. If a and b are the roots of the equation x^(2)+ax+b=0, a ne 0, b ne 0,...

    Text Solution

    |

  9. If x^(2)+px+q=0 has the roots alpha" and "beta, then the value of (alp...

    Text Solution

    |

  10. The value of i-i^(2)+i^(3)-i^(4)+"……."-i^(100) is equal to

    Text Solution

    |

  11. If the imaginary part of (2+i)/(ai-1) is zero, where a is a real numbe...

    Text Solution

    |

  12. The argument of the complex number ((i)/(2)-(2)/(i)) is equal to

    Text Solution

    |

  13. Let z(1)=3+4i" and "z(2)= -1+2i. Then |z(1)+z(2)|^(2)-2(|z(1)|^(2)+|z(...

    Text Solution

    |

  14. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |

  15. If the equation x^(2)-(2+m)x+(m^(2)-4m+4)=0 in x has equal roots, then...

    Text Solution

    |

  16. The number of integral values of b, for which the equation x^(2)+bx-16...

    Text Solution

    |

  17. If (1+i) is a root of the equation x^(2)-x+(1-i)=0, then the other roo...

    Text Solution

    |

  18. If the roots of the quadratic equation 3x^(2)+2x+a^(2)-a=0 in x are of...

    Text Solution

    |

  19. The number of real roots of the equation |x|^(2)-3|x|+2=0 is

    Text Solution

    |

  20. Let a,b, c be positive real numbers. If (x^(2)-bx)/(ax-c)=(m-1)/(m+1) ...

    Text Solution

    |