Home
Class 12
MATHS
For the set A={1,\ 2,\ 3} , define a rel...

For the set `A={1,\ 2,\ 3}` , define a relation `R` on the set `A` as follows: `R={(1,\ 1),\ (2,\ 2),\ (3,\ 3),\ (1,\ 3)}` Write the ordered pairs to be added to `R` to make the smallest equivalence relation.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A relation R in set A = {1,2,3} is defined as R = { (1,1) , (1,2) , (2,2) , (2,1) , (2,3) } . Which of the following ordered pair shall be added to make it a symmetric relation ?

Given the relation R={(1,2) (2,3)} on the set A={(1,2,3)} the minimum number of ordered pairs which when added to R make it an equivalence relation is

Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

A relation R in S = {1, 2, 3} is defined as R = {(1, 1),(2,2),(1,2),(3,3)}. Which of the following elements (s) must be added to make R an equivalence relation ?

A relation R in S = {1, 2, 3} is defined as R {(1, 1), (1, 2), (2, 2), (3, 3)}. Which element of relation R be removed to make R an equivalence relation

RESONANCE DPP-JEE MAINS-All Questions
  1. Let z1, z2,z3 be three distinct complex numbers satisfying |z1- 1|=|z...

    Text Solution

    |

  2. The length of the chord cut off by y=2x+1 from the circle x^2+y...

    Text Solution

    |

  3. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |

  4. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  5. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  6. The value of ' a ' for which the sum of the squares of the roots of th...

    Text Solution

    |

  7. (51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4) is equal to (where (n r) ...

    Text Solution

    |

  8. A die is thrown 500 times with frequency for outcomes 1, 2, 3,4, 5, 6 ...

    Text Solution

    |

  9. In a group of 60 persons, each takes at least one of coffee or tea. If...

    Text Solution

    |

  10. If a+b+c=2,a^2+b^2+c^2=1a n da b c=3t h e n1/a+1/b+1/c is equal to a. ...

    Text Solution

    |

  11. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

    Text Solution

    |

  12. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos...

    Text Solution

    |

  13. If alpha + beta = 90^@ and beta + gamma = alpha then tanalpha-tanbeta=...

    Text Solution

    |

  14. Let the solution of the equation 5^(1+(log)4x)+5^(-1-1(log)4x)=(26)/5 ...

    Text Solution

    |

  15. If a circle passes through the points of intersection of the coordinat...

    Text Solution

    |

  16. Show that the relation R defined in the set A of all triangles as R={...

    Text Solution

    |

  17. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then M^9 9/N b. N^9=9/M c. M^...

    Text Solution

    |

  18. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  19. If (log)(10)(1028)/(1024)=alphaa n d(log)(10)=beta, then the value of...

    Text Solution

    |

  20. tangents are drawn to x^2+y^2=a^2 at the points A(acos theta, a sin th...

    Text Solution

    |