Home
Class 12
MATHS
If x y, z are in GP, then which of the...

If x y, z are in GP, then which of the following is/are correct?
1. In (3x), In(3y), in (3z) are in AP
2. xyz +In (x), xyz +ln(y), xyz + ln (z) are in HP
Select the correct answer using the code given below.

A

I only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2021

    NDA PREVIOUS YEARS|Exercise MULTIPLE CHOICE QUESTIONS|120 Videos
  • SEQUENCE AND SERIES

    NDA PREVIOUS YEARS|Exercise MATH|148 Videos

Similar Questions

Explore conceptually related problems

Let XYZ be a 3-digit number.Let S=XYZ+YZX+ZXY . Which of the following statements is // are correct ? 1. S is always divisible by 3 and ( X+Y+Z) 2. S is always divisible by 9 3. S is always divisible by 37 Select the correct answer using the code given below :

If log, y, log, x, log, z are in G.P. xyz 64 and x y, z' are in A.P., then

If x y z are in GP(x y z>1) then (1)/(2x+log x) , (1)/(4x+log y) , (1)/(6x+log z) are in 1) AP 2) GP 3) HP 4) AGP

If (log x)/(b-c)=(log y)/(c-a)=(log z)/(a-b), then which of the following is/are true? zyz=1 (b) x^(a)y^(b)z^(c)=1x^(b+c)y^(c+b)=1( d) xyz=x^(a)y^(b)z^(c)

Multiply the 3x ^(2) y ^(2) z ^(2), 17xyz

NDA PREVIOUS YEARS-QUESTION PAPER 2021(I)-MULTIPLE CHOICE QUESTION
  1. If x^2 + x + 1 = 0, then what is the value of x^(199) + x^(200) + x^(2...

    Text Solution

    |

  2. If x y, z are in GP, then which of the following is/are correct? ...

    Text Solution

    |

  3. f log(10) 2, log(10)(2^(x) -1) , log(10)(2^(x)+3) are in AP, then wha...

    Text Solution

    |

  4. Let S = {2, 3, 4, 5, 6, 7, 9}. How many different 3-digit numbers (wit...

    Text Solution

    |

  5. If p= (1111... up to n digits), then what is the value of 9p^2 + p ?

    Text Solution

    |

  6. The quadratic equation 3x^2 - (k^2 + 5k) x + 3k^2 - 5k = 0 has real...

    Text Solution

    |

  7. If a(n) = n(n!) , then what is a1 +a2 +a3 +......+ a(10) equal to ?

    Text Solution

    |

  8. If p and q are the non-zero roots of the equation x^2 + px + q = 0, t...

    Text Solution

    |

  9. If Delta=|(a,b,c),(d,e,f),(g,h,i)| then what is |(3d+5g ,4a+7g,6g...

    Text Solution

    |

  10. If (1)/(b+c),1/(c+a),1/(a+b) are are in HP, then which of the followin...

    Text Solution

    |

  11. If A=[(1,a),(0,1)] where a in N , then what is A^(100) - A^(50)-2A^(2...

    Text Solution

    |

  12. If |(a,-b,a-b-c),(-a,b,-a+b-c),(-a,-b,-a-b+c)| - kabc = 0 (a != 0, b !...

    Text Solution

    |

  13. What is sum(r = 1)^(8n + 7)i^(r) equal to where i = sqrt(-1) ?

    Text Solution

    |

  14. If z = x + iy where i = sqrt(-1) , then what does the equation zbarz ...

    Text Solution

    |

  15. Which one of the following is a square root of 2a+2sqrt(a^2+b^2) , w...

    Text Solution

    |

  16. If sintheta and costheta are the roots of the equationax^(2)-bx+c=0 ,...

    Text Solution

    |

  17. If C (n, 4), C (n, 5) and C (n, 6) are in AP, then what is the value ...

    Text Solution

    |

  18. How many 4-letter words (with or without meaning) containing two vowe...

    Text Solution

    |

  19. Suppose 20 distinct points are placed randomly on a circle. Which of t...

    Text Solution

    |

  20. How many terms are there in the expansion of ((a^2)/(b^2) + (b^2)/(a^2...

    Text Solution

    |