Home
Class 12
MATHS
Let A= {0,3,4,6,7,8,9,10} and R be the r...

Let `A= {0,3,4,6,7,8,9,10}` and `R` be the relation defined on `A` such that `R={(x,y) in AtimesA:x-y` is odd positive integer or `x-y=2}`,The minimum number of elements that must be added to the relation `R` so that it is a symmetric relation ,is equal to ______.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

The minimum number of elements that must be added to the relation R={(1,2),(2,3)} on the set of natural numbers so that it is an equivalence is

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (d) write codomain of R.

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (c) Find the range of R.

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (b) Find the domain of R.

Let A={1,2,3,4} and B={5,7,8,9} be two sets and the relation R from A to B be defined as R={(a,b)in A times B:|a-b| is an even number } .Then the number of elements in the relation R is

Let A={1,2,3,4},B={1,4,9,16,25} and R be a relation defined from A to B as , R ={(x,y):x in A and y =x^2} (a) Depict this relation using arrow diagram.

Let A={3,5,7},B={2,6,10} and R be a relation from A to B defined by R={(x,y):x and y are relatively prime. Then,write R and R^(-1)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. If the coefficients of three consecutive terms inthe expansion of (1+x...

    Text Solution

    |

  2. Let f(x)=(sinx+cosx-sqrt2)/(sinx-cosx),x in[0,pi]-{(pi)/(4)} then f ((...

    Text Solution

    |

  3. Let A= {0,3,4,6,7,8,9,10} and R be the relation defined on A such that...

    Text Solution

    |

  4. Let [t] denote the greatest integer let. If the constant term in the e...

    Text Solution

    |

  5. Let [t] denote the greatest integer let. then (2)/(pi)int((pi)/(6))^((...

    Text Solution

    |

  6. The largest natural number n such that 3^(n) divides 66! is

    Text Solution

    |

  7. Consider a circle C(1):x^(2)+y^(2)-4x-2y=a-5. Let its mirror image in ...

    Text Solution

    |

  8. Let vec =6hati+9hatj+12hatk,vecb=ahat+11vecj-2veck-2hatk and vecc be ...

    Text Solution

    |

  9. If the solution curve of the differential equation (y-2log(e)x) dx +...

    Text Solution

    |

  10. let the mean and variance of 8 numbersx,y,10,12,6,12,4,8, be 9 and 9.2...

    Text Solution

    |

  11. If alpha (a) is the greatest term in the sequence alpha (n)=(n^(3))/(n...

    Text Solution

    |

  12. Let lambda(1),lambda (2) be the values of lambda for which the points ...

    Text Solution

    |

  13. The integeral int((x/2)^x+(2/x)^x)log2x dx is equal to

    Text Solution

    |

  14. Let A={1,2,3,4,5,6,7}. Then the relation R={(x,y) in A xx A : x+y=7} i...

    Text Solution

    |

  15. Let A={theta in (0,2pi):(1+2i sin theta)/(1-i sintheta) "is purely ima...

    Text Solution

    |

  16. Let the vectors vec u1 =hati+hatj+a hatk , vec u2=hati+b hatj+hatk and...

    Text Solution

    |

  17. Let P be the plane passing through the line (x-1)/1=(y-2)/-3=(z+5)/7 a...

    Text Solution

    |

  18. Let S be the set of all value of theta in [-pi,pi] for which the syste...

    Text Solution

    |

  19. The negation of (p wedge (~q)) vv (~p) is equivalent to

    Text Solution

    |

  20. For a,b in ZZ and abs(a-b) le 10, let the angle between the plane P:ax...

    Text Solution

    |