Home
Class 12
MATHS
If p,q in N" satisfy the equation "x^(s...

If `p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x)`, then

A

relatively prime

B

twin prime

C

Coprime

D

If `log_(q)P` is defined then `log_(p)q` is not defined vice versa

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then p a n d q are (a)relatively prime (b) twin prime (c) coprime (d)if (log)_q p is defined, then (log)_p q is not and vice versa

int e^(sqrtx) dx

If x,y in R satisfy the equation x^2 + y^2 - 4x-2y + 5 = 0, then the value of the expression [(sqrtx-sqrty)^2+4sqrt(xy)]/((x+sqrt(xy)) is

int (1/sqrtx-sqrtx)dx

y= log(sqrtx+1/sqrtx)

int (a^sqrtx)/(sqrtx) dx equals

If sqrt(2+sqrtx)=3 then, x=

Prove that the equation x^(log_(sqrtx^(2x)))=4 has no solution.

The value of 'x' satisfying the equation "log"_2"log"_3(sqrtx+sqrt(x-3)) =0 is coprime with : -

If f(x) = x^(sqrtx) , then f(sqrt2) =

RESONANCE ENGLISH-DPP-QUESTION
  1. For positive real numbers a (a>1) let pa and qa, be the maximum and mi...

    Text Solution

    |

  2. Let a >2 be a constant. If there are just 18 positive integers satisfy...

    Text Solution

    |

  3. If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x), then

    Text Solution

    |

  4. Which is/are true ? (A) log(0.2)3lt log(2)3 (B) log(sqrt(5))10ltlog (...

    Text Solution

    |

  5. The solution of the equation 7^(logx)-5^(logx+1)=3*5^(logx-1)-13*7 ^(l...

    Text Solution

    |

  6. Solve ((1)/(2))^(logx^(2))+2gt3.2^(log(-x))

    Text Solution

    |

  7. The values of x satisfying 2log((1)/(4))(x+5)gt(9)/(4)log((1)/(3sqrt(3...

    Text Solution

    |

  8. If a and b are positive integers such that a^(2)-b^(4)=2009, then a+b^...

    Text Solution

    |

  9. Find number of integral solutionlog(x+3)(x^(2)-x)lt1

    Text Solution

    |

  10. Suppose xy-5x+2y=30, where x and y are positive integers. Find the num...

    Text Solution

    |

  11. Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x...

    Text Solution

    |

  12. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  13. If sum(r=0)^(n-1)log(2)((r+2)/(r+1)) =prod(r=10)^(99)log(r) (r+1), the...

    Text Solution

    |

  14. Solve for x: log(2)x le 2/(log(2)x-1)

    Text Solution

    |

  15. Solve the in equality log(1/4) (2-x)>log(1/4) (2/(x+1)).

    Text Solution

    |

  16. Given that log(a^(2))(a^(2)+1)=16 find the value of log(a^(32))"("a+1/...

    Text Solution

    |

  17. If (3log(10)x+19)/(3log(10)x-1)=2 log(10)x+1, find solution of equatio...

    Text Solution

    |

  18. Prove that there exist no natural numbers, m and n such that m^(2)=n^(...

    Text Solution

    |

  19. Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-...

    Text Solution

    |

  20. If (u)/(alpha)=(v)/(beta)=then (u)/(alpha)=(v)/(beta)=((au^(n)+bv^(n))...

    Text Solution

    |