Home
Class 12
MATHS
Let alpha,beta, are two real solution of...

Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` sqrt1/(alpha beta)`equal to `(i) 20 (ii) 3 (iii) 10 (iv) 1`

A

`20`

B

`3`

C

`10`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

Let alpha,beta, are two real solution of equation (log_(10)x)^(2)+log_(10)x^(2)=(log_(10))^(2)-1, then (sqrt(1))/(alpha beta) equal to (i)20(ii)3(iii)10(iv)0

(log_(10)x)^(2)+log_(10)x^(2)=(log_(10)2)^(2)-1

log_(10)^(2) x + log_(10) x^(2) = log_(10)^(2) 2 - 1

Number of real solution of the equation sqrt(log_(10)(-x)) = log_(10) sqrt (x^(2)) is

The number of real solution of the equation log_(10)(7x-9)^(2)+log_(10)(3x-4)^(2)=2 is

Number of real solutions of the equation sqrt(log_(10)(-x))=log_(10)(sqrt(x^(2)))

Number of real solutions of the equation sqrt(log_(10)(-x))=log_(10)(sqrt(x)^(2))

The equation (log_(10)x+2)^(3)+(log_(10)x-1)^(3)=(2log_(10)x+1)3

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Complete set of solution of inequation sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt...

    Text Solution

    |

  2. If loga a. logc a +logc b. loga b + loga c. logb c=3 (where a, b, c ar...

    Text Solution

    |

  3. Let alpha,beta, are two real solution of equation (log(10)x)^2 + log(1...

    Text Solution

    |

  4. Let a, b, c, d are positive integer such that log(a)b=3//2 and log(c)d...

    Text Solution

    |

  5. The range of real values of 'p' for which the equation 2log3^2 x-|log...

    Text Solution

    |

  6. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  7. The least positive integer x, which satisfies the inequality log(log(x...

    Text Solution

    |

  8. Complete set of solution of equation (log(0.3)(x-2))/(|x|) >= 0

    Text Solution

    |

  9. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

    Text Solution

    |

  10. The complete set of values of x satisfying the equation x^2. 2^(x+1)+...

    Text Solution

    |

  11. If f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2)...

    Text Solution

    |

  12. The number of solution of the equation sgn({x})=|1-x| is/are (where {*...

    Text Solution

    |

  13. The complete set of solution of Inequality (x^2-5 x+6 sgn(x))/(x sgn(x...

    Text Solution

    |

  14. (1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3...

    Text Solution

    |

  15. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

    Text Solution

    |

  16. Let 0le theta le pi/2 x=Xcos theta + Ysin theta y=Xsin theta - Y cos t...

    Text Solution

    |

  17. Let (1+tan1^(ul0))(1+tan2^(ul0))......(1+tan45^(ul0))=2^(k) then k equ...

    Text Solution

    |

  18. The number of solution of 2cosx=|sinx| where x in [0.4pi] is/are

    Text Solution

    |

  19. if the equation sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0 is solved for ...

    Text Solution

    |

  20. In (0,6pi), the number of solutions of the equation tantheta+tan2theta...

    Text Solution

    |