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NCERT Solutions class-11 Maths Exercise 6.2

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Exercise 6.2

Solve the following inequalities graphically in two dimensional planes:

1.

Ans. Given:

Table of values satisfying the equation

1

2

4

3

Putting (0, 0) in the given in equation,

0 < 5

which is true.

Therefore, Half plane of towards origin.


2.

Ans. Given:

Table of values satisfying the equation

1

2

4

2

Putting (0, 0) in the given in equation,

which is false.

Therefore, Half plane of away from the origin.


3.

Ans. Given:

Table of values satisfying the equation

0

4

3

0

Putting (0, 0) in the given in equation,

which is true.

Therefore, Half plane of towards the origin.


4.

Ans. Given:

Table of values satisfying the equation

5

6

2

4

Putting (0, 0) in the given in equation,

which is true.

Therefore, Half plane of towards the origin.


5.

Ans. Given:

Table of values satisfying the equation

2

3

1

2

Putting (0, 0) in the given in equation,

which is true.

Therefore, Half plane of towards the origin.


6.

Ans. Given:

Table of values satisfying the equation

6

9

2

4

Putting (0, 0) in the given in equation,

which is false.

Therefore, Half plane of away from the origin.


7.

Ans. Given:

Table of values satisfying the equation

2

0

0

Putting (0, 0) in the given in equation,

which is true.

Therefore, Half plane of towards the origin.


8.

Ans. Given:

Table of values satisfying the equation

0

0

10

Putting (0, 0) in the given in equation,

which is true.

Therefore, Half plane of towards the origin.


9.

Ans. Given:

Table of values satisfying the equation

Putting (0, 0) in the given in equation,

which is false.

Therefore, Half plane of away from the origin.


10.

Ans. Given:

Putting (0, 0) in the given in equation,

which is true, therefore, Half plane of towards the origin.

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