Home
Class 12
MATHS
Let ordered pair (alpha, beta) satisfyin...

Let ordered pair `(alpha, beta)` satisfying the system of equations `2 log (x^2+ y^2)- log5= log{2(x^2+ y^2) +75}` and `log(x/3)+ log (5y)= 1 +log 2` then `(A)` number of such ordered pair is `2 (B) alpha^2+beta^2=25 (C)alpha & beta` are prime numbers `(D)alpha & beta are coprime numbers

A

number of such ordred pair is 2

B

`alpha^(2)+beta^(2)=25`

C

`alpha & beta` are prime numbers

D

`alpha & beta` are coprime numbers

Text Solution

AI Generated Solution

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

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

The number of ordered pair(s) of (x, y) satisfying the equations log_((1+x))(1-2y+y^(2))+log_((1-y))(1+2x+x^(2))=4 and log_((1+x))(1+2y)+log_((1-y))(1+2x)=2

The number of ordered pairs ( alpha, beta ) ,where alpha, beta in (-pi, pi) satisfying cos(alpha-beta) =1 "and" cos(alpha+beta) = (1)/(sqrt2) is :

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 then log(a-bx+cx^(2)) is equal to

If log_(2)(x + y) = log_(3)(x - y) = (log 25)/(log 0.2) , find the values of x and y.

If the ordered pairs (x_(1), y_(1)) and (x_(2), y_(2)) satisfying the system of equations log_(10)y-log_(10)|x|=log_(100)4 and log_(100)|x+y|=1/2 , find the value of (x_(1)+x_(2)+y_(1)+y_(2))

The number of solution of the equation log(-2x)= 2 log(x+1) are

Number of real values of x satisfying the equation log_2(x^2-x)*log_2((x-1)/x)+(log_2x)^2=4 ,is (a) 0 (b) 2 (c) 3 (d) 7

If x and alpha are real, then the inequation log_(2)x+log_(x)2+2cos alpha le 0

The number of ordered pairs (alpha , beta ) , where alpha , beta in [0,2pi] satisfying log_(2 sec x )(beta^(2)-6beta+10)=log_(3)| cos alpha | is

RESONANCE ENGLISH-DPP-QUESTION
  1. Len n be an integer greater than 1 and let a(n)=(1)/(log(n)1001). If ...

    Text Solution

    |

  2. If B=(12)/(3+sqrt5+sqrt8)andA=sqrt1+sqrt2+sqrt5-sqrt10, then value of ...

    Text Solution

    |

  3. Let ordered pair (alpha, beta) satisfying the system of equations 2 lo...

    Text Solution

    |

  4. If P(x) is a polynomial with integer coefficients such that for 4 dist...

    Text Solution

    |

  5. If the remainder R(x)=ax+b is ontained by dividing the polynomial x^(1...

    Text Solution

    |

  6. log(1/4)((35-x^2)/x)geq-1/2

    Text Solution

    |

  7. (0. 5)^((log(1/3) ((x+5)/(x^2+3)))>1

    Text Solution

    |

  8. If (a+b)/x=(b+c)/y=(c+a)/z ,then (A) (a+b+c)/(x+y+z)=(ab+bc+ca)/(ay+bz...

    Text Solution

    |

  9. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  10. The vlaue of (81^((1)/(log(5)9))+3^((3)/(log(sqrt(6))3)))/(409)((sqrt(...

    Text Solution

    |

  11. The number of roots of the equation log(3sqrtx)x + log(3x) sqrtx = 0 ...

    Text Solution

    |

  12. For positive real numbers a (a>1) let pa and qa, be the maximum and mi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |