Home
Class 12
MATHS
If a+ib=(5+3i)(6i+1), what is the value ...

If `a+ib=(5+3i)(6i+1)`, what is the value of `a^(2)+b^(2)` ?

A

1258

B

1528

C

2158

D

3168

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise Grib-In|32 Videos

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise PRACTICE TEST|24 Videos

  • COMPLEX NUMBERS

    ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

If (6+4i)/(1-3i)=a+bi , what is the value of a+b ?

What is the value of (2+8i)(1-4i)-(3-2i)(6+4i)?

If (1-3i)(7+5i+i^(2))=a+bi , what is the value of a+b ?

If 5a=6b+7 and a -b =3, what is the value of b/2 ?

If 1+1/i=A+iB , then find the value of B.

(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 ?

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| ?

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 ?

Match the following : {:("Column - I" , "Column - II"),("(A) The smallest positive integer for which" (1 +i)^(n)=(1-i)^(n)" is " , "(p) 1"),("(B) If " root3(a+ib) =x +iy and b/y -a/x = k (x^(2) +y^(2)) " then k is equal to " , "(p) -3 " ),("(C) If " x=(1+i)/sqrt2 ", then the value of "1 +x^(2)+x^(4)+x^(6)+x^(8)+x^(10)+....+ x^(2004)+x^(2006) +x^(2008), "(r) 2"),("(D) If the minimum value of " |z+1+i|+|z-1-i|+|2-z|+|3-z| " is k then (k-8) equals " ,"(s)4 "):}

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-EXERCISE
  1. The imaginary number I is defined such that i^(2)=-1. Which of the fol...

    Text Solution

    |

  2. The imaginary number I is such that i^(2)=-1. Which of the following o...

    Text Solution

    |

  3. A right angled triangle ABC of sides AB=6, BC=8 and AC=10 is spun onc...

    Text Solution

    |

  4. If a+ib=sqrt(5+12i) where a>0, b>0, which of the following is a possi...

    Text Solution

    |

  5. Two friends, Amy and Bob, are standing in line with a lamp post. The s...

    Text Solution

    |

  6. In the figure OA=sqrt(80), OB=8, OC=sqrt(20). What is the length of OD...

    Text Solution

    |

  7. In a right-angled triangle ABC, right angled at B, an altitude BD is ...

    Text Solution

    |

  8. If the equation of the circle having the coordinates of the ends of it...

    Text Solution

    |

  9. If a+ib=(5+3i)(6i+1), what is the value of a^(2)+b^(2) ?

    Text Solution

    |

  10. A well, 2m radius and 40m deep, is being dug. The excavated soil is t...

    Text Solution

    |

  11. In the figure shown, ABC is a triangle, right angled at B. Through B, ...

    Text Solution

    |

  12. From a cuboid of dimension 4mxx6mxx8m, largest possible cube is cut ou...

    Text Solution

    |

  13. In the DeltaABC,DE||BC, AD=3, BD=6, and BC=8. What is the ratio of the...

    Text Solution

    |

  14. A vertical tower, OP stands at the center O of a square ABCD. Let h an...

    Text Solution

    |

  15. What is the shortest distance between the circle x^(2)+y^(2)-2x-2y=0 ...

    Text Solution

    |

  16. A balloon leaves the earth and rises at a uniform velocity. At the end...

    Text Solution

    |

  17. In DeltaABC,D and E are the mid-points of AB and AC. Again, F and G ar...

    Text Solution

    |

  18. In the figure shown, area of triangle ACE is 48. If AC is parallel to...

    Text Solution

    |

  19. In the figure above, the line TAB is tangent to the given circle. If /...

    Text Solution

    |

  20. In a parallelogram, the ratio of the two adjacent sides is 1 : 2. If t...

    Text Solution

    |