Home
Class 12
MATHS
If z=sqrt(2)- isqrt(2) si rotated throug...

If `z=sqrt(2)- isqrt(2)` si rotated through an angle `45^(@)` in the anti-clockwise direction about the origin, then the co-ordianates of its new position are

A

`(2,0)`

B

`(sqrt(2), sqrt(2))`

C

`(sqrt(2), -sqrt(2))`

D

`(sqrt(2), 0)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Point A(9,12) rotates around the origin O in a plane through 60^(@) in the anticlockwise direction to a new position B. Find the coordinates of the point B.

If a point A(6,8) rotates through an angle 90^o about the origin in the anticlockwise direction ,find the new position of A.

If z = 2 - 2i, find the rotation of z by theta radians in the counter clockwise direction about the origin when theta = (3pi )/(2)

If z = 2 - 2i, find the rotation of z by theta radians in the counter clockwise direction about the origin when theta = (2pi)/(3)

If z = 2 - 2i, find the rotation of z by theta radians in the counter clockwise direction about the origin when theta = (pi)/(3)

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If z= re^(i theta)" then "|e^(iz)|=

    Text Solution

    |

  2. i^(2)+i^(4)+i^(6)+"…………up to "(2k+1) terms, k in N is

    Text Solution

    |

  3. If z=sqrt(2)- isqrt(2) si rotated through an angle 45^(@) in the anti-...

    Text Solution

    |

  4. If z=(7-i)/(3-4i)" then "z^(14)=

    Text Solution

    |

  5. If (sqrt(8)+i)^(50)=3^(49)(a+ib)" then "a^(2)+b^(2) is

    Text Solution

    |

  6. If 3p^(2)=5p+2" and "3q^(2)= 5q+2, where p ne q, then the equation wh...

    Text Solution

    |

  7. If x=8+3sqrt(7)" and "xy=1, then the value of (1)/(x^2)+(1)/(y^2) is

    Text Solution

    |

  8. If alpha" and "beta, alpha" and "gamma" and "alpha" and "delta are the...

    Text Solution

    |

  9. The solution set of the equation pqx^(2)-(p+q)^(2)x+(p+q)^(2)=0 is

    Text Solution

    |

  10. If roots alpha, beta of the equation (x^(2)-bx)/(ax-c)=(lambda-1)/(lam...

    Text Solution

    |

  11. Let a= e^(i(2pi)/(3)). Then the equation whose roots are a+a^(-2)" and...

    Text Solution

    |

  12. If alpha(1), alpha(2), alpha(3), alpha(4) are the roots of the equatio...

    Text Solution

    |

  13. The roots of the eqaution (q-r)x^(2)+(r-p)x+(p-q)=0 are

    Text Solution

    |

  14. Let omega be a imaginary root of x^(n)=1. Then (5- omega)(5- omega^2)"...

    Text Solution

    |

  15. If isqrt(-1), then 4+5(-(1)/(2)+(isqrt(3))/(2))^(334)+3(-(1)/(2)+(isqr...

    Text Solution

    |

  16. If z is a complex number such that Re(z)=Im(z), then

    Text Solution

    |

  17. If alpha" and "beta are the roots of the equation x^(2)-7x+1=0, then t...

    Text Solution

    |

  18. If alpha " and "beta are different complex numbers with |beta|=1, then...

    Text Solution

    |

  19. If omega is a complex cube root of unity, then the value of sin{(omega...

    Text Solution

    |

  20. Let z=(11-3i)/(1+i). If alpha is a real number such z-ialpha is real, ...

    Text Solution

    |