Home
Class 12
MATHS
Let A={1,2,3,...........,100} .Let R be ...

Let `A={1,2,3,...........,100}` .Let `R` be a relation on `A` defined by `(x,y)in R` if and only if `2x=3y` .Let `R_(1)` be a symmetric relation on `A` such that `RsubR_(1)` and the number of elements in `R_(1)` is `n` .Then, the minimum value of `n` is:

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

Let R be a relation on N defined by x+2y=8. The domain of R is

Let R be a relation in N defined by R={(x, y):2x+y=8} , then range of R is

Let R be a relation on N defined by R={(x,y):2x+y=10}, then domain of R is

Let R be a relation on N defined by R={(x,y):x+2y=8). Then domain of R is

" Let "R" be a relation in "N" defined by "R={(x,y):x+2y=8}" The Range of "R" is "

Let R be a relation in N defined by (x,y)in Rhat harr_(x)+2y=8. Express R and R^(-1) as sets of ordered pairs.

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let a,b,c be the lengths of three sides of a triangle satistying the c...

    Text Solution

    |

  2. Let A(-2,-1),B(1,0),C(alpha,beta) and D(gamma,delta) be the vertices o...

    Text Solution

    |

  3. Let A={1,2,3,...........,100} .Let R be a relation on A defined by (x,...

    Text Solution

    |

  4. Let y=y(x) be the solution of the differential equation sec^(2)xdx+(e^...

    Text Solution

    |

  5. If A is a matrix of order 3 times 3 and det A = 2 and n = det ubrace((...

    Text Solution

    |

  6. If lim(x rarr0)(ax^(2)e^(x)-b log(e)(1+x)+cxe^(-x))/(x^(2)sin x)=1 ,th...

    Text Solution

    |

  7. |(120)/(pi^(3))int(0)^( pi)(x^(2)sin x cos x)/(sin^(4)x+cos^(4)x)dx| i...

    Text Solution

    |

  8. Let the coefficient of x^(r) in the expansion of (x+3)^(n-1)+(x+3)^(n-...

    Text Solution

    |

  9. Let vec a=3 hat i+2 hat j+hat k,vec b=2 hat i-hat j+3 hat k and vec c ...

    Text Solution

    |

  10. Let alpha and beta are roots of the equation px^2+qx-r=0 where pne0. I...

    Text Solution

    |

  11. If int(0)^((pi)/(3))cos^(4)xdx=a pi+b sqrt(3) ,where "a" and "b" are r...

    Text Solution

    |

  12. If "z" is a complex number such that |z| ge 1 ,then the minimum value ...

    Text Solution

    |

  13. Let the locus of the mid point of the chords of the circle x^2+(y-1)^2...

    Text Solution

    |

  14. Let "P" and "Q" be the points on the line (x+3)/(8)=(y-4)/(2)=(z+1)/(2...

    Text Solution

    |

  15. If the mirror image of the point "P(3,4,9)" in the line (x-1)/(3)=(y+1...

    Text Solution

    |

  16. Consider the relations R(1) and R(2) defined as aR(1)b hArr a^(2)+b^(2...

    Text Solution

    |

  17. If m is the coefficient of 7th term and n is the coefficient of 13th t...

    Text Solution

    |

  18. If the domain of the function f(x)=(sqrt(x^(2)-25))/((4-x^(2)))+log(10...

    Text Solution

    |

  19. The probability that Ajay will go to office is 1/5 and probability tha...

    Text Solution

    |

  20. Consider "10" observations x(1),x(2),...,x(10) such that sum(i=1)^(10)...

    Text Solution

    |