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Linear Inequalities

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Q 1. is

We have,

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Q 2. The least perimeter of a cyclic quadrilateral of given area square units is

If

Using

Hence, the least perimeter is

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Q 3. If

Minimum value 81

Maximum value 81

Minimum value 27

Maximum value 27

We have,

Now,

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Q 4. The set of values of

(-2, 5)

(2, 8)

(-2, 8)

(2, 5)

Given inequalities are

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Q 5. If

1

Using

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Q 6. The number of solutions of the equation

0

1

2

3

Curves

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Q 7. If

None of these

Using

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Q 8. The minimum value of

Now,

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Q 9. The number of real solutions of the equation

0

1

2

None of these

We observe that

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Q 10. If

None of these

We have,

But,

Hence, the minimum value of

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Q 11. The largest interval for which

When

Again, when

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Q 12. If

None of these

By trial,

But

Hence, solution set for

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Q 13. The solution of the inequation

None of tnese

The given inequation is

Let

As

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Q 14. The set of all solutions of the inequation

Given inequation is

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Q 15. Let

0

Infinite

1

2

Draw graphs of

These two curves intersect it infinitely many points

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Q 16. If

Given,

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Q 17. Solution of the inequality

None of these

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Q 18.

(5, 9)

We have,

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Q 19. Let

0

1

None of these

As discussed in the above problem, if

So, the negative real root lies between

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Q 20. If

We have,

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Q 21. The total number of roots of the equation

1

2

0

Infinitely many

We have,

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Q 22. If

Using

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