One to One Function

Q. How do we represent $0.123\overline{456}$?

1. $\frac{41111}{999000}$
2. $\frac{41111}{333000}$
3. $\frac{12333}{99000}$
4. $\frac{3333}{99000}$

Q. If every horizontal line intersects the curve
in at most one point then the function is

1. One-to-one
2. Many-to-one
3. Onto
4. Into

Q. Why in wavy curve method upper side of curve is positive and lower side is negative ?

Q. Does the curve represent a one-to-one function?

1. Yes
2. No
3. Can't be predicted from the graph
4. Maybe

Q. Does the graph represent a one-to-one function?

1. Yes
2. No
3. Can't be predicted from the graph
4. Maybe

Q. The function $f:N\to N$ defined by $f\left(x\right)=2x-1$ is one-to-one.

1. True
2. False

Q. what is the equation of a straight line.explain slop intercept with a graph ?

Q. If X and Y are two sets and A′ denotes the complement of A, then X ∩ (X ∪ Y)′ is equal to

1. X
2. Y
3. $\varphi$
4. $X\cap Y$

Q. 24. How to create the equation of the circle

Q.

If (a+b , a-b) = (4, 2), what is $\frac{a}{b}$ ?

1. 1/3

2. 2/3

3. 3

4. 3/2

Q.

Determine whether the graph is a function using vertical line test.

Q. Graphs are great to get a hold of the geometric interpretation of any equation.

1. True
2. False

Q. Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. State whether f is one-one or not.

Q.

All straight line functions except constant functions are one-to- one functions.

1. True

2. False

Q. Number of sides in simple equation is

1. three
2. two
3. none
4. 0

Q. Given P = {2, 4, 6, 81} and Q = {3, 7}. State, whether { (3, 2), (7, 6) } is a function (mapping) from Q to P or not.

Q. One-one function is also called as ____

1. Injection
2. Surjection
3. Bijection
4. None of the above

Q. Prove that the function $f:N\to N$ defined by $f\left(x\right)=2x-1$ is one-to-one. [2 marks]

Q. 39. What is the formula of vertex of a quadratic eqn while drawing its graph?

Q.

Which of the following is an infinite set?

1. The set of all lines parallel to Y-axis

2. Set of all atoms in solar system

3. Set of letters in English alphabet

4. Set of circles that can have centre as (0, 0) and radius of 1cm

Q. A list of node representing an arc of a graph, requires how many fields?

1. 3
2. 4
3. 2
4. 1