Home
Class 12
MATHS
Let A relation R on number defined by xR...

Let A relation R on number defined by `xRy hArr 3x+alpha y` is multiple of 7. If R be an equivalance relation then `alpha` is

A

only 14

B

multiple of 4

C

`7k+4 , k in I`

D

`10k+4 , k in I`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Prove that the relation R on Z defined by (a,b)in R hArr a-b is divisible by 5 is an equivalence relation on Z .

Let n be a positive integer.Prove that the relation R on the set Z of all integers numbers defined by (x,y)in R hArr x-y is divisible by n, is an equivalence relation on Z .

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible by 5. Show that R is an equivalence relation on Z.

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible by 5. Show that R is an equivalence relation on Z.

If the relation R in a set of integers defined as R = {(a, b): (a + b) is divisible by 7}, is an equivalence relation, then the equivalence class containing 0 is:

Let n be a fixed positive integer.Define a relation R on Z as follows: (a,b)in R hArr a-b is divisible by n .Show that R is an equivalence relation on Z .

Show that the relation R defined by R={(a,b):a-b is divisible by 3;a,b in Z} is an equivalence relation.

Let N denote the set of all natural numbers and R be the relation on NxN defined by (a,b)R(c,d)hArr ad(b+c)=bc(a+d) Check whether R is an equivalence relation on NxN.

Let Z be the set of all integers and R be the relation on Z defined as R={(a,b);a,b in Z, and (a-b) is divisible by 5.}. Prove that R is an equivalence relation.

If A ={ 1, 2, 3,. . . , 10} R : A to A R = { (a, b) : | a - b| is a multiple of 3} is an equivalence relation, then the equivalence class [1] is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If (p^(**)q) odot (p odot ~q) is tautology then ordered pair (odot ,^(...

    Text Solution

    |

  2. Let x^2+y^2-x+2y=11/4 is a circle with RQ and centre C. If P is any po...

    Text Solution

    |

  3. Let A relation R on number defined by xRy hArr 3x+alpha y is multiple ...

    Text Solution

    |

  4. The value of 15 int0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3))) is equa...

    Text Solution

    |

  5. If P(B//A)=5/7 , P(A//B)=7/9 and P(AnnB)=1/9 given S1 equiv P(A' uu B)...

    Text Solution

    |

  6. Absolute maximum value of f(x)=tan^(-1)(sinx-cosx) is

    Text Solution

    |

  7. A class have B boys and G girls , 3 boys and 2 girls selected at rando...

    Text Solution

    |

  8. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  9. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  10. Let f(x)=lim(x to oo)(cos 2pi x -x^(2n) sin (x-1))/(1+x^(2n+1)-x^(2n))...

    Text Solution

    |

  11. Let f(x)=ax^2+bx+c and f(1)=3 , f(-2)=lamda , f(3)=4 then value of lam...

    Text Solution

    |

  12. The value of 60 int0^(pi/2) (sin 6x)/(sinx) dx is

    Text Solution

    |

  13. If 1+(2+^49C1+^49C2+. . .+^49C49)("^50C2+^50C4+^50C6+. . .+^50C50)=m.2...

    Text Solution

    |

  14. The differential equation of all the circles passing through the point...

    Text Solution

    |

  15. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  16. If alpha & beta are the roots of equation x^2-sqrt3 x+sqrt6=0 and 1+1/...

    Text Solution

    |

  17. If 6/(3^12)+10/(3^11)+20/3^10+40/3^9+. . .+10240/3^1=2^m.n then the va...

    Text Solution

    |

  18. If OAB is a triangle park and OP is a vertical tower such that AB=16, ...

    Text Solution

    |

  19. If curve y=f(x) satisfying differential equation dy/dx+(1/(x^2-1))y=((...

    Text Solution

    |

  20. If A and B are two 3xx3 order matrices such that A is symmetric and B ...

    Text Solution

    |