Home
Class 11
MATHS
If A and B are two rational number and A...

If A and B are two rational number and AB, (A+B) and (A-B) are rational numbers, then (A/B) is (where B `ne` 0)

A

Always rational

B

Never retinol

C

Always irrational

D

Rational when `Ane 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

The addition of two rational number is a

If A and B are two matrices such that A + B and AB are both defined, then:

Insert in between 5/7 and 9/11 (a) a rational number (b) an irrational number

IF x and be are real numbers and b>0,|x|>b then

If a/b and c/d be two rational numbers and if a = nc, b = nd,when n is a natural number , then what type of rational numbers are the numbers a/b and c/d and why ?

Insert in between sqrt5 and sqrt7 - (a) a rational number, (b) an irrational number ,

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.

If A and B are two matrices such that AB = A and BA = B then B is equal to__

If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

(b) Explain rational number in your own words.

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Consider a number n=21P53Q4.Number of values of Q so that the number '...

    Text Solution

    |

  2. Consider a number N=21P53Q4. Number of ordered pairs (P,Q) so that the...

    Text Solution

    |

  3. If A and B are two rational number and AB, (A+B) and (A-B) are rationa...

    Text Solution

    |

  4. If x,y,z, are real and distinct number, then the value of ((x-y)^3+...

    Text Solution

    |

  5. If (x-a) is a factor of x^3-a^2x+x+2, then 'a' is equal to

    Text Solution

    |

  6. If 2x^3-5x^2+x+2=(x-2)(ax^2-bx-1) then a and b are respectively.

    Text Solution

    |

  7. The polynomial P (x)= kx^3+3x^2-3 and Q(x)=2x^3-5x+k, when divided by ...

    Text Solution

    |

  8. Find the intervals where f(x) is negative ((x-1)(x-2))/((2x-5)(x+4))

    Text Solution

    |

  9. Solution set of ((x-2)^2(1-x)(x-3)^3(x-4)^2)/((x-1))le0 is

    Text Solution

    |

  10. The interval in which (x^2-2x-3)/(x^2-2x) is negative,

    Text Solution

    |

  11. Solution set of ((x-1)^(101)(x-2)^(102)(x-3)^(103))/((x-1)^(201)(x+2)^...

    Text Solution

    |

  12. Solution set of (x^2-absx-12)/(x-3)ge2x is

    Text Solution

    |

  13. Solve :abs((x^2-5x+4)/(x^2-4))le1

    Text Solution

    |

  14. Solve : 1/((x-2))-1/xle 2/((x+2))

    Text Solution

    |

  15. If log7 2=a, then log(49)28 is equal to

    Text Solution

    |

  16. The solution set of the inequality log10 (x^2-16)le log10 (4x-11) is

    Text Solution

    |

  17. If log4 (x^2+x)-log4(x+1)=2, then the value of x is

    Text Solution

    |

  18. If log12 18=x, log24 4=y then the value of xy-(2x+5y)+4 is

    Text Solution

    |

  19. The number of solution(s) of log4(x-1)=log2(x-3) is

    Text Solution

    |

  20. If a^x=b, b^y=c,c^z=a then the value of xyz is

    Text Solution

    |