|
Given a non-empty set X, consider the binary operation * : P (X) x P (X) ∀ P (X)
|
|
1
|
695
|
April 10, 2019
|
|
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres
|
|
1
|
1438
|
April 10, 2019
|
|
Given a non empty set X, consider P (X) which is the set of all subsets of X
|
|
1
|
877
|
April 10, 2019
|
|
Give examples of two functions f : N → N and g : N → N such that gof is onto but f is not onto
|
|
1
|
1523
|
April 10, 2019
|
|
It costs ₹2200 to paint the inner curved surface of a cylindrical vessel 10 m deep
|
|
1
|
872
|
April 10, 2019
|
|
If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm
|
|
1
|
1167
|
April 10, 2019
|
|
Give examples of two functions f : N → N and g : Z → Z such that
|
|
1
|
669
|
April 10, 2019
|
|
A soft drink is available in two packs a tin can with a rectangular base of length 5 cm
|
|
1
|
804
|
April 10, 2019
|
|
Show that the function f : R → R given by f(x) = x3 is injective
|
|
1
|
998
|
April 10, 2019
|
|
The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm
|
|
1
|
2050
|
April 10, 2019
|
|
Show that the function f : R → {x ∈ R : -1 < x < 1} defined by f(x) = x/1 + |x| , x ∈ R
|
|
1
|
1468
|
April 10, 2019
|
|
The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm
|
|
1
|
1768
|
April 10, 2019
|
|
A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour
|
|
1
|
1653
|
April 10, 2019
|
|
If f(f(x)) is defined by f(f(x)) find f(f(x))
|
|
1
|
398
|
April 10, 2019
|
|
Let f : W → W be defined as f(n) = n - 1 if f is odd and f(n) = n + 1 if n is even
|
|
1
|
1431
|
April 10, 2019
|
|
Let f : R → R be defined as f(x) = 10x + 7. Find the function such that gof = fog = IR
|
|
1
|
1664
|
April 10, 2019
|
|
Consider a binary operation * on N defined as a * b = a3 + b3. Choose the correct answer:
|
|
1
|
728
|
April 10, 2019
|
|
State whether the following statements are true or false. Justify:
|
|
1
|
454
|
April 10, 2019
|
|
Let A = N x N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d)
|
|
1
|
872
|
April 10, 2019
|
|
Show that none of the operations given above the identity
|
|
1
|
411
|
April 10, 2019
|
|
Let * be a binary operation on the set Q of rational numbers as follows:
|
|
1
|
1209
|
April 10, 2019
|
|
Let * be the binary operation on N defined by a * b = H.C.F. of a and b
|
|
1
|
598
|
April 10, 2019
|
|
Is * defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a binary operation?
|
|
1
|
805
|
April 10, 2019
|
|
Let * be the binary operation on N given by a * b = L.C.M. of a and b Find:
|
|
1
|
865
|
April 10, 2019
|
|
Let * ' be the binary operation on the set {1, 2, 3, 4, 5} defined by
|
|
1
|
363
|
April 10, 2019
|
|
Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table
|
|
1
|
642
|
April 10, 2019
|
|
Consider the binary operation V on the set {1, 2, 3, 4, 5} defined by a V b = min {a, b}
|
|
1
|
802
|
April 10, 2019
|
|
For each binary operation * defined below, determine whether * is commutative or associative:
|
|
1
|
1263
|
April 10, 2019
|
|
Determine whether or not each of the definition of * given below gives a binary operation
|
|
1
|
539
|
April 10, 2019
|
|
Let f : R - {-4/3} → R be a function defined as f(x) = 4x/3x + 4
|
|
1
|
1055
|
April 10, 2019
|