Home
Class 12
MATHS
Whenever j and k are positive integers s...

Whenever j and k are positive integers such that `(sqrt3)^(j) = 27^(k)` , what is the value of `j/k`?

A

`1/6`

B

`3/2`

C

`3`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST 1

    ENGLISH SAT|Exercise EXERCISE|60 Videos
  • PRACTICE TEST

    ENGLISH SAT|Exercise MATH TEST (WITH CALCULATOR)|37 Videos
  • PRACTICE TEST 2

    ENGLISH SAT|Exercise Multiple Choice|58 Videos

Similar Questions

Explore conceptually related problems

If 3j-(k_5)=16-4k , what is the value of j+k ?

If (2)/(3)j-(1)/(4)k=(5)/(2) , what is the value of 8j-3k ?

2y^(2)=3(y+9) If j and k represent solutions of the equation above and jgtk , what is the value of j-k ?

The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position vector is hat i- hat j + hat k . What is the torque of a given force about the origin ?

Consider the equation k = 7/5 j + 54 . For what value of j is the value of k equal to 40 ?

Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i- hat j- hat k be three vectors. A vector vec v in the plane of vec a a n d vec b , whose projection on vec c is 1/(sqrt(3)) is given by a. hat i-3 hat j+3 hat k b. -3 hat i-3 hat j+3 hat k c. 3 hat i- hat j+3 hat k d. hat i+3 hat j-3 hat k

Show that the points A, B and C with position vectors, veca=3 hat i-4 hat j-4 hat k , vecb=2 hat i- hat j+ hat k and vecc= hat i-3 hat j-5 hat k respectively form the vertices of a right angled triangle.

If three points A, B and C with position vectors hat(i) + x hat(j) +3 hat(k) , 3 hat(i) + 4 hat(j) + 7hat( k) and y hat(i) - 2 hat(j) - 5 hat(k) respectively are collinear, then (x,y) =

If points A,B and C with position vectors 2 hat(i) - hat(j) + hat(k) , hat(i) - 3 hat(j) - 5hat(k) and alpha hat(i) - 3 hat(j) + hat(k) respectively are the vertices of a right-anged triangle with /_C = ( pi )/( 2) , then the values of alpha are

Find the angle between the vectors hat i-2 hat j+3k and 3 hat i-2 hat j+k

ENGLISH SAT-PRACTICE TEST 1-EXERCISE
  1. For 20 quiz scores in a typing class, the table below gives the freque...

    Text Solution

    |

  2. In the complex numbers, where i^(2) = -1.

    Text Solution

    |

  3. Temperature measured in degrees Fahrenheit (F) are related to tempera...

    Text Solution

    |

  4. The table below gives experimental data value for variables x and y. T...

    Text Solution

    |

  5. During a snowstorm, the relationship between the depth of accumulated ...

    Text Solution

    |

  6. Diana is baking bread, and the original recipe calls for 1 1/2 teaspoo...

    Text Solution

    |

  7. For all nonzero values of x, (12x^(6) - 9x^(2))/(3x^2) = ?

    Text Solution

    |

  8. Four matrices are given below. W = [(1,2),(5,8)] X = [(3,9),(7,4)] Y...

    Text Solution

    |

  9. The 3 parabola graphed in the standard (x,y) coordinate plane below ar...

    Text Solution

    |

  10. After polling a class of 20 music students by a show of hands, you fin...

    Text Solution

    |

  11. A teacher assigns each of her 18 students a different interger from 1 ...

    Text Solution

    |

  12. Lucky found $8.25 in pennies, nickels, dimes, and quarters while walki...

    Text Solution

    |

  13. Given 10^((2x-1)/x) = 1, x = ?

    Text Solution

    |

  14. The table below shows the results of a survey of 250 people who were a...

    Text Solution

    |

  15. Mario was ridiing a bicycle with wheels 26 inches in diameater, During...

    Text Solution

    |

  16. Whenever j and k are positive integers such that (sqrt3)^(j) = 27^(k) ...

    Text Solution

    |

  17. A finite arithmetic sequence has 7 terms, and the first term is 3/4. W...

    Text Solution

    |

  18. In the circle with center D shown below, the length of radius bar(CD) ...

    Text Solution

    |

  19. The lengths of the triangle shown below are rounded to the nearest 0.1...

    Text Solution

    |

  20. The probability distribution of the discrete random variable X is show...

    Text Solution

    |