Home
Class 12
MATHS
Let F(1) be the set of parallelograms, ...

Let `F_(1)` be the set of parallelograms, `F_(2)` the set of rectangle , `F_(3)` the set of rhombuses, `F_(4)` the set of squares and `F_(5)` the set of trapeziums in a plane. Then, `F_(1)` may be equal to

A

`F_(2) cap F_(3)`

B

`F_(3) cap F_(4)`

C

`F_(2) cup F_(5)`

D

`F_(2)cup F_(3) cup F_(4) cup F_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Every rectangle ,rectangle , rhombus ,square in a place is a parellelograme but every trapezium is not a pareallelogram
`therefore F_(1)=F_(2) cup F_(3)F_(4) cup F_(1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Archives|1 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.5|12 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) is -

Let A be the set of triangles in a plane and RR^(+) be the set of positive real numbers. Then show that, the function f:A rarr RR^(+) defined by , f(x)= area of triangle x, is many -one and onto.

Knowledge Check

  • Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

    A
    `{f (x) in RR : 0 le f (x) le 1}`
    B
    `{f (x) in RR: -1 lt f (x) lt 1}`
    C
    `{f (x) in RR : -1 lt f(x) le 1}`
    D
    `{ f (x) in RR : -1 le f(x) le 1}`

  • Let f(x)=x|x| . Then the set of points where f(x) is twice differentiable is -

    A
    `AA x in R`
    B
    `AA x in R -{0}`
    C
    `AA x in R-{0,1}`
    D
    `AA x in R -{1}`

  • Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1 .Then the set f^(-1) , (1,6) is

    A
    `{-sqrt5/3,0,sqrt5/3}`
    B
    `{-sqrt5/3,sqrt5/3}`
    C
    `{-sqrt1/3,sqrt1/3}`
    D
    `(-sqrt5/3,sqrt5/3)`

    • Similar Questions

    Explore conceptually related problems

    Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .

    Let, ZZ be the set of integers and the mapping f:ZZ to ZZ be given by f(x) = 2x-1, state which of the following sets is equal to the set {x:f(x) =3} ?

    Let A ={1,2,3,4} and RR be the set of real numbers. If f : A to RR be deined by f (x) =x^(2) -1, then f as a set of ordered pairs will be -

    Let R be the set of real numbers and f:R to R be defined by f(x)=x^(2)+2 , then the set f^(-1)(11 le x le 27) is -

    Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= cos ec x(x ne npi, n in z): then image set of f is-

    Home
    Profile