Home
Class 11
MATHS
The Fig 2.6 shows a relation between th...

The Fig 2.6 shows a relation between the sets P and Q. Write this relation
(i) in set- builder form,
(ii) in roster form.What is its domain and range?

Text Solution

Verified by Experts

`(3)^2=9`
`(-3)^2=9`
`(2)^2=4 `
(-2)^2=4 `
`(5)^2=25 `
(-5)^2=25`
Let the element of set P can be denoted by x i.e `x in P ` and the elements of set Q can be denoted by y i.e. `y in Q`
Hence , we can say that ` y^2=x implies x=y^2`
Therefore, `R={(x,y):x=y^2,x in P &y in Q}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|12 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.3|5 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.1|10 Videos
  • PROBABILITY

    NCERT|Exercise EXERCISE 16.3|21 Videos
  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.5|6 Videos

Similar Questions

Explore conceptually related problems

The Fig 2.6 shows a relation between the sets P and Q. Write tins relation (i) in set- builder form,(ii) in roster form.What is its domain and range?

The Figure shows a relationship between the sets P and Q. Write this relation ( i in set- builder form (ii) roster form.What is its domain and range?

The figure shows a relationship between the sets P and Q. Write this relation : (i) in set-builder from (ii) Roaster from. What is its domain and range?

Figure 2.15 shows a relationship between the sets P and Q. Writt this relation in Set bulder form il.Roster form What is its domain and range?

The following figure shows a relation between P and Q. Write the relation in: (i) set builder form (ii) roster form What is its domain and range?

Figure 2.14 shows a relation R between the sets P and Q. Write this relation R in i. Roter form ii.Set builder form.What is tis domain and range?

Conversion of set builder form in roster form

Write (-5,9] in set builder form .

Write the set {3,6,9,12} in set Builder Form.

Write the set B={3,9,27,81} in set builder form.

NCERT-RELATIONS AND FUNCTIONS-SOLVED EXAMPLES
  1. Define the function f : R ->R by y = f(x) = x^2, x in R. Complete ...

    Text Solution

    |

  2. Let N be the set of natural numbers and the relation R be defined on ...

    Text Solution

    |

  3. Let f(x)=sqrt(x)and g(x) = xbe two functions defined over the set of ...

    Text Solution

    |

  4. Let f(x)=x^2and g(x) = 2x + 1be two real functions. find (f +g)(x),...

    Text Solution

    |

  5. Define the real valued function f : R {0} ->Rdefined by f(x)=1/x,...

    Text Solution

    |

  6. Draw the graph of the function f : R-> Rdefined by f(x)=x^3, x in R...

    Text Solution

    |

  7. Let R be a relation from Q to Q defined by R={(a,b):a,b in Q and a,b i...

    Text Solution

    |

  8. Let R be the set of real numbers. Define the real function f : R ->Rb...

    Text Solution

    |

  9. If (x + 1, y - 2) = (3, -1), find the values of x and y.

    Text Solution

    |

  10. Let A= {1, 2, 3}, B = {3, 4}and C = {4, 5, 6}. Find(i) A xx(B nnC...

    Text Solution

    |

  11. If P = {a , b , c}and A xxB = {(p , q), (p , r), (m , q), (m , r)}Q = ...

    Text Solution

    |

  12. If R is the set of all real numbers, what do the cartesian products R...

    Text Solution

    |

  13. If P = {1, 2}form the set P xxP xxP.

    Text Solution

    |

  14. The function f is defined by f(x) ={[1-x \ x<0], [1 \ \ \ \ \ \ \ \ ...

    Text Solution

    |

  15. Find the domain of the function f(x) =(x^2-3x+5)/(x^2-5x+4).

    Text Solution

    |

  16. Let f = {(1, 2), (2, 3), (0, -1), ( -1, -3)} be a linear function ...

    Text Solution

    |

  17. If A xxB = {(p , q), (p , r), (m , q), (m , r)}, find A and B.

    Text Solution

    |

  18. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

    Text Solution

    |

  19. The Fig 2.6 shows a relation between the sets P and Q. Write this rel...

    Text Solution

    |

  20. Let A = {1, 2}and B = {3, 4}. Find the number of relations from A to...

    Text Solution

    |