Home
Class 12
MATHS
Let R={(a, a^(3)): a is a prime number l...

Let R={(a, `a^(3))`: a is a prime number less than 5) be a relation. Find the range of R.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    SHARAM PUBLICATION|Exercise EXAMPLE|93 Videos

  • MODEL QUESTION PAPER -15

    SHARAM PUBLICATION|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

If R={(a, a^(3)) : a is prime number less than 5} be a relation. Find the range of R.

Let R = {(a,a^3) | a is a prime number less than 10 } dom R.

Let R = {(a,a^3) | a is a prime number less than 10 } Find R.

Let R = {(a,a^3) | a is a prime number less than 10 }.Find rng R.

Let R = {(a,a^3) | a is a prime number less than 10 }. Find R^(-1).

Let R = {(a,a^3) | a is a prime number less than 10 }.Find rng R^(-1).

Let R = {(a,a^3) | a is a prime number less than 10 }.Find dom R^(-1).

Write the relation R={(x,x^3):x is a prime numeber less than 10} is roaster form.

Let N be the set of all positive integers and R be a relation on N, defined by R = {(a,b): a is a factor of b), show that R is reflexive and transitive.

SHARAM PUBLICATION-MODEL QUESTION PAPER -1-EXERCISE
  1. If the equation of the line AB is (3 - x)/1=(y + 2)/-2=(z - 5)/4 then ...

    Text Solution

    |

  2. If f(x) = cos(logex) then show that f(x).f(y)-1/2[f(xy) + f(x/y)]=0

    Text Solution

    |

  3. Let R={(a, a^(3)): a is a prime number less than 5) be a relation. Fin...

    Text Solution

    |

  4. Determine whether the following operation on the set R is associative ...

    Text Solution

    |

  5. Solve cos(tan^-1x) = sin(cot^-1 (3/4))

    Text Solution

    |

  6. Write the solution of the following LPP Maximise Z=x+y Subject to ...

    Text Solution

    |

  7. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

    Text Solution

    |

  8. If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).

    Text Solution

    |

  9. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

    Text Solution

    |

  10. Find the inverse of the matrix [{:(2,5),(1,3):}]

    Text Solution

    |

  11. Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]].

    Text Solution

    |

  12. Find (dy)/(dx), when y^(x)=x^(siny)

    Text Solution

    |

  13. Show that f(x)=|x| is continuous at x=0 but not deferentiable at x=0.

    Text Solution

    |

  14. If sin y=(2t)/(1 + t^2),cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx...

    Text Solution

    |

  15. Find the interval where the function f(x) = sin x + cos x, x in [0, 2p...

    Text Solution

    |

  16. Show that no two normals to a parabola are parallel.

    Text Solution

    |

  17. int(cos2x-cos2alpha)/(cosx-cosalpha)dx

    Text Solution

    |

  18. Integrate: int0^(3/2)[x^2]dx

    Text Solution

    |

  19. Solve : (x+y)dy +(x-y)dx = 0.

    Text Solution

    |

  20. Solve: (x^2-1)dy/dx+2xy=1

    Text Solution

    |