Home
Class 12
MATHS
If A & B are two rational numbers and AB...

If A & B are two rational numbers and AB, A + B and A -B are rational numbers, then A/B is :

A

always rational

B

never rational

C

rational when `B ne 0`

D

rational when `A ne 0`

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

Between two rational numbers

sum of two rational numbers is

Product of two rational numbers is

If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, then

if (log)_a x=b for permissible values of a and x then identify the statements which can be correct. (a) If a and b are two irrational numbers then x can be rational (b) if a is rational and b is irrational, then x can be rational (c) if a is irrational and b is rational, then x can be rational (d) If a and b are two rational numbers then x can be rational .

If (log)_a x=b for permissible values of a and x , then identify the statement(s) which can be correct. (a)If a and b are two irrational numbers, then x can be rational. (b)If a is rational and b is irrational, then x can be rational. (c)If a is irrational and b is rational, then x can be rational. (d)if aa n d b are rational, then x can be rational.

Let a,b inQ"such that"(39sqrt2-5)/(3-sqrt2)=a+bsqrt2, then (A) sqrt((b)/(a)) is a rational number (B) b and a are coprime rational numbers (C) b-a is a composite number (D) sqrt(a+b) is a rational number

If (log)_a x=b for permissible values of aa n dx , then identify the statement(s) which can be correct. If aa n db are two irrational numbers, then x can be rational. If a is rational and b is irrational, then x can be rational. If a is irrational and b is rational, then x can be rational. If aa n d b are rational, then x can be rational.

Assuming that x is a positive real number and a ,\ b ,\ c are rational numbers, show that: ((x^a)/(x^b))^(a+b)\ ((x^b)/(x^c))^(b+c)((x^c)/(x^a))^(c+a)=1

Assuming that x is a positive real number and a ,\ b ,\ c are rational numbers, show that: ((x^a)/(x^b))^(1/(a b))\ ((x^b)/(x^c))^(1/(b c))\ \ ((x^c)/(x^a))^(1/(a c))=1

RESONANCE ENGLISH-DPP-QUESTION
  1. Which of these-five numbers sqrt(pi^(2)),""^(3)sqrt(0.08),""^(4)sqrt(0...

    Text Solution

    |

  2. If ln^(2)x+3lnx-4 is non negative, then x must lie in the interval :

    Text Solution

    |

  3. If A & B are two rational numbers and AB, A + B and A -B are rational ...

    Text Solution

    |

  4. The expression ((logR((a)/b))^(3)+(log(R)((b)/(c)))^(3)+(log (R)((c)/(...

    Text Solution

    |

  5. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  6. Match the following {:(,"Column-I",,"Column-II"),((A),"Even number",...

    Text Solution

    |

  7. STATEMENT-1: log(2 + sin 2x) (x^4+x^2+1)e^(sinx) gt0 STATEMENT-2: Prod...

    Text Solution

    |

  8. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |

  9. The largest real solution of the equatio sqrt(sqrt(sqrtx))=4sqrt(4sqrt...

    Text Solution

    |

  10. The number of distinct pairs (x,y) of the real number satisfying x=x^(...

    Text Solution

    |

  11. Let X minimum (x^(2)-2x+7),c inRand B="Minimum"(x^(2)-2x+7),x in[2,oo)...

    Text Solution

    |

  12. If alpha,beta, gamma are the roots of the cubic equation 2009x^(3)+2x^...

    Text Solution

    |

  13. Find the root common the system of equations log(10)(3^(x)-2^(4-x))=2+...

    Text Solution

    |

  14. Match the column Consider the number = N 123X43Y where x & y are dig...

    Text Solution

    |

  15. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  16. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  17. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  18. If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, the...

    Text Solution

    |

  19. If alpha is a roots equations 4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alp...

    Text Solution

    |

  20. If alpha, beta, gamma are the roots of the equation x^(2)=px^(2)+qx-r=...

    Text Solution

    |