Home
Class 12
MATHS
If A is set of different triangles in th...

If A is set of different triangles in the plane and B is set of all positive real numbers. A relation R is defined from set A to set B such that every element of set A is associated with some number in set B which is measure of area of triangle. Is this relation as function?

Text Solution

Verified by Experts

Two or more different triangles may have same area.
But area of each triangle is unique.
This means each element (triangle) of set A is associated with unique value (Area) of set B.
So, given relation is function.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

The set of all positive odd numbers divisible by 2 is

On the set R of real numbers, the relation rho is defined by x rho y, (x, y) in R .

Let R be a relation from set A do a set B, then_____

The relation 'less than' in the set of natural numbers is

Total number of relations that can be defined on set A = {1,2,3,4} is

State which of the following is total number of relations from set A={a,b,c} to set B ={d,e} is

Total number of relations that can be defined on set A = {a,b,c} is ____

If A= {a,b} B={p,q} then how many relation are there from set A to set B?

Number of relations of a set having 5 elements are

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Given a non empty set X, consider P (X) which is the set of all subset...

    Text Solution

    |

  2. Examine each of the following relations given below and state in each...

    Text Solution

    |

  3. If A is set of different triangles in the plane and B is set of all po...

    Text Solution

    |

  4. A relation R is defined from N to N as R={(ab,a+b): a,b in N}. Is R ...

    Text Solution

    |

  5. Set A has m distinct elements and set B has n distinct elements. The...

    Text Solution

    |

  6. Write explicit functions of y defined by the following equations and a...

    Text Solution

    |

  7. Find the domain and range of the following functions. (i) f(x)=sqrt...

    Text Solution

    |

  8. Find the domain and range function f(x) =(x^(2)-3x+2)/(x^(2)-4x+3).

    Text Solution

    |

  9. Find the values of x for which the following functions are identical....

    Text Solution

    |

  10. ABCD is a square of side l. A line parallel to the diagonal BD at a di...

    Text Solution

    |

  11. The relation f is defined by f(x) ={(3x+2", "0le x le2),(x^(3)", ...

    Text Solution

    |

  12. If f: [-3,4] to R,f(x)=2x, " and " g :[-2, 6] to R,g(x) =x^(2). Then f...

    Text Solution

    |

  13. If f(x) ={(x^(3)", " x lt1),(2x-1", " x ge 1):} " and " g(x)={(...

    Text Solution

    |

  14. Check the nature of the following function. (i) f(x)=sin x, x in R...

    Text Solution

    |

  15. Check the nature of the function f(x)=x^(3)+x+1, x in R using analyt...

    Text Solution

    |

  16. Let f: R->R \ w h e r e \ f(x)=(x^2+4x+7)/(x^2+x+1) . Is f(x) \ on e \...

    Text Solution

    |

  17. Let f:R to R where f(x) =sin x. Show that f is into. Also find the co...

    Text Solution

    |

  18. Let f: N->Z be a function defined as f(x)=x-1000. Show that f is an in...

    Text Solution

    |

  19. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  20. Let A={x:-1 le x le 1}=B be a function f: A to B. Then find the nature...

    Text Solution

    |