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NDA Exam Mathematics Study Material

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Relations and Functions

Every is a __.

a) function, relation
b) relation, function
c) Relation, relation
d) None of the above

✔Answer

Correct Answer Is : function, relation

Solution Is :

If f and g are two functions over real numbers defined as f(x) = 8x - 2, g(x) = x⁵ + 4, then find f-g

a) X⁵-6x+6
b) X⁵+8x+6
c) X⁵-8x+6
d) X⁵-8x-6

✔Answer

Correct Answer Is : X⁵-8x+6

Solution Is :

The domain of the function f(x) = √9-x²is:

a) {x∊R: -9 ≥ x≤9}
b) {x∊R: -81 ?x≤3}
c) {x∊R: -3 ?x≤3}
d) {x∊R: 4 ?x≤4}

✔Answer

Correct Answer Is : {x∊R: -3 ?x≤3}

Solution Is :

For a constant function f(x)=k where k is a real number ; {k} is

a) the range of f
b) the co-domain of f
c) the domain
d) None of the above

✔Answer

Correct Answer Is : the range of f

Solution Is :

Let R be the set of real numbers. A function f: R R defined by y = f(x) = x for each x R is called

a) Floor function
b) Ceiling function
c) Modulus function
d) Identity function

✔Answer

Correct Answer Is : Identity function

Solution Is :

If the relation R is from a non-empty set A to non-empty set B, then set B is called ___________ of the relation R.

a) The co-domain
b) The domain
c) The domain
d) the empty set

✔Answer

Correct Answer Is : The co-domain

Solution Is :

If (x+6,y-6)=(6,8) then x and y =

a) x=0 ,y=14
b) x = 14, y=14
c) x = 14, y = 0
d) x=2,y=14

✔Answer

Correct Answer Is : x=0 ,y=14

Solution Is :

For the relation R= {(3,2),(4,3),(6,5),(5,6)} The domain is

a) {1,3,5,6}
b) {2,3,5,6}
c) {1,2,3,4,5,6}
d) {3,4,5,6}

✔Answer

Correct Answer Is : {3,4,5,6}

Solution Is :

Step or greatest integer function is also called as

a) Floor function
b) Ceiling function
c) Modulus function
d) None of the above

✔Answer

Correct Answer Is : Floor function

Solution Is :

If n(A) = 2 and n(B) =3 then find the number of elements in the power set of A × B

a) 128
b) 16
c) 8
d) 64

✔Answer

Correct Answer Is : 64

Solution Is :

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NDA Exam Mathematics Study Material

Relations and Functions

Every______ is a ________.

Correct Answer Is : function, relation

Solution Is :

If f and g are two functions over real numbers defined as f(x) = 8x - 2, g(x) = x5 + 4, then find f-g

Correct Answer Is : X5-8x+6

Solution Is :

The domain of the function f(x) = √9-x2is:

Correct Answer Is : {x∊R: -3 ?x≤3}

Solution Is :

For a constant function f(x)=k where k is a real number ; {k} is

Correct Answer Is : the range of f

Solution Is :

Let R be the set of real numbers. A function f: R R defined by y = f(x) = x for each x R is called

Correct Answer Is : Identity function

Solution Is :

If the relation R is from a non-empty set A to non-empty set B, then set B is called ___________ of the relation R.

Correct Answer Is : The co-domain

Solution Is :

If (x+6,y-6)=(6,8) then x and y =

Correct Answer Is : x=0 ,y=14

Solution Is :

For the relation R= {(3,2),(4,3),(6,5),(5,6)} The domain is

Correct Answer Is : {3,4,5,6}

Solution Is :

Step or greatest integer function is also called as

Correct Answer Is : Floor function

Solution Is :

If n(A) = 2 and n(B) =3 then find the number of elements in the power set of A × B

Correct Answer Is : 64

Solution Is :

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Every is a __.

If f and g are two functions over real numbers defined as f(x) = 8x - 2, g(x) = x⁵ + 4, then find f-g

Correct Answer Is : X⁵-8x+6

The domain of the function f(x) = √9-x²is: