# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

## AP Board Class 9 Maths Chapter 15 Proofs in Mathematics InText Questions Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 15 Proofs in Mathematics InText Questions Book Answers

 AP Board Class 9 Maths Chapter 15 Proofs in Mathematics InText Questions Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 15 Proofs in Mathematics InText Questions Book Answers

## Andhra Pradesh State Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Books Solutions

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## AP Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

## AP State Syllabus 9th Class Maths Solutions 15th Lesson Proofs in Mathematics InText Questions

Do This

Question
Make 5 more sentences and check whether they are statements or not ? * Give reasons. [Page No. 311]
Solution:
1) 9 is a prime number – False
This is a statement because we can judge the truthness of this sentence. Clearly it is a false statement as 9 has factors other than 1 and 9, hence it is a composite number.
2) x is less than 5 – can’t say True or False
This is not a statement. The truthness can t be verified unless the value of x is known. Hence it is a sentence only.
3) 3 + 5 = 8 – True
The above sentence is a statement. It is a true statement as 5 + 3 = 8.
4) Sum of two odd numbers is even – True
The above sentence can be verified as a true sentence by taking ex¬amples like 3 + 5 = 8, 5 + 7 = 12 etc. Hence it is a true statement.
5) X2 +3 = 9- can’t say True or False.
The above sentence is not a state¬ment. Its truthness can’t be
verified without the value of x.

Try This

1. 3 is a prime number.
2. Product of two odd integers is even.
3. For any real number x; 4x T x = 5x
4. The earth has one moon.
5. Ramu is a good driver.
6. Bhaskara has written a book “Leelavathi ”.
7. All even numbers are composite.
8. A rhombus is a square.
9. x > 7.
10. 4 and 5 are relative primes.
11. Silver fish is made of silver.
12. Humans are meant to rule the earth.
13. For any real number .v. 2x > x.
14. Havana is the capital of Cuba.

Question
Which of the above statements can be tested by giving counter example ?
[Page No. 312]
Solution:
Statements 2, 7, 8, 13 can be tested by giving counter examples 2) Product of two odd integers is even. Counter example.
2) Product of two odd integers 3 and 5 is 3×5 = 15 is not an even number.
7) All even numbers are composite. Counter example : 2 is an even prime.
8) A rhombus is a square.

Counter example: (40°, 140°, 40°. 140°) is a rhombus.
13) For anyx; 2x > x
Counter example : for x = -3:
2x = 2(-3) = – 6
here -6 < – 3

b

Try This

Envied by the popularity of Pythagoras, his younger brother claimed a different relation between the sides of a right angled triangles. [Page No. 319]

Liethagoras Theorem: In any right angled triangle the square of the smallest side equals the sum of the other sides. Check this conjecture, whether It is right or wrong.
Solution:
This conjecture is true for the above
triangles.
i) 32 5 + 4 ⇒ 9 = 5 + 4
ii) 52 = 25 = 12 + 13
iii) 72 = 49 = 24 + 25
But, when the smallest side happens to be an even integer the conectiire may not hods good.
Eg: 1) 6= 36 ≠ 10 + 8

ii) 122 = 144 ≠ 20 + 16

## Andhra Pradesh Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Textbooks for Exam Preparations

Andhra Pradesh Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Textbook Solutions can be of great help in your Andhra Pradesh Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions exam preparation. The AP Board STD 9th Maths Chapter 15 Proofs in Mathematics InText Questions Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Books State Board syllabus with maximum efficiency.

## FAQs Regarding Andhra Pradesh Board Class 9th Maths Chapter 15 Proofs in Mathematics InText Questions Textbook Solutions

#### Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

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