Home
Class 12
MATHS
Find the greatest and least value of |z(...

Find the greatest and least value of `|z_(1)+z_(2)|=" if " z_(1)=24 + 7i and |z_(2)|=7`

Text Solution

Verified by Experts

we have,
`|z_(1)|=|24 +7i|=2 5 and |z_(2)|=7`
`" Greatest" |z_(1)+z_(2)|=|z_(1)|= 25 + 7 = 32`
`" Least " |z_(1) +z_(2)| =||z_(1)|-|z_(2)||= 25-7 = 18`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Try Yourself|60 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

Find the greatest and the least value of |z_(1)+z_(2)| if z_(1)=24+7i and |z_(2)|=6

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

Find the greatest and least value of |z_(1)+z_(2)|;quad if quad z_(-)1=24+7i and |z_(-)2|=6

|z+3|<=3, then the greatest and least value of |z+1| are

If |z+4|<=3 then find the greatest and least values of |z+1|

1.If |z-2+il=<2 then find the greatest and least value of z|

1.If |z-2+il=<2 then find the greatest and least value of z|

If a,b are the least and the greatest values,"],[" respectively of " "|z_(1)+z_(2)|" " Where z_(1)=12+5i and |z_(2)|=9" " then a^(2)+b^(2)=

AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-section-J (Aakash Challengers Qestions)
  1. Find the greatest and least value of |z(1)+z(2)|=" if " z(1)=24 + 7i ...

    Text Solution

    |

  2. Let n be even postiive integer such that n/2 is odd and let alpha(0)...

    Text Solution

    |

  3. Let z(1),z(2),z(3) be complex numbers, not all real, such that |z(1)|...

    Text Solution

    |

  4. Let z(1),z(2),z(3) be complex numbers, such that (i) |z(1)|=|z(2)...

    Text Solution

    |

  5. find all complex numbers z such that |z -|z+1|| = |z+|z-1||

    Text Solution

    |

  6. Suppose p is a polynomial with complex coefficients and an even degree...

    Text Solution

    |

  7. The point A(1),A(2)…… A(10) are equally distributed on a circle of rad...

    Text Solution

    |

  8. Let a and b be positive real numbers with a^(3) +b^(3) = a -b and k...

    Text Solution

    |

  9. Let k be a real number such that the inequality sqrt(x-3) +sqrt(6 -x)...

    Text Solution

    |

  10. If alpha and beta are the roots of the equation x^2 + px -1/(2p^2) =...

    Text Solution

    |

  11. If the roots of the quadratic equation x^2 - ax + 2b = 0 are prime num...

    Text Solution

    |

  12. The number of real solutions of the equation root4(97-x) + root4(x) =5...

    Text Solution

    |

  13. If f(x) is a polynomial of degree at least two with integral co-effic...

    Text Solution

    |

  14. p=(x(1)-x(2))^(2) +(x(1)-x(3))^(2) + .......+(x(1)-x(6))^(2) +(x(2)-x(...

    Text Solution

    |

  15. If x,y,z are three real numbers such that x+ y +z =4 and x^(2) + y^(2...

    Text Solution

    |

  16. If unity is double repeated root of px^3+ g(x^2 + x) +r=0, then

    Text Solution

    |

  17. The number of real solutions of the equation 4x^(99) +5x^(98) + 4x^(9...

    Text Solution

    |