RD Sharma Solutions for Class 9 Maths Chapter 4 Exercise VSAQs are available here. All questions are solved by BYJU’S subject experts to help students of Class 9 to score high marks in exams. Students are advised to practise RD Sharma Class 9 Chapter 4 in order to ace the examinations without fear. Check out the Class 9 Maths Chapter 4 very short type answers from the links given below.
RD Sharma Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise VSAQs
Access Answers to Maths RD Sharma Solutions for Class 9 Chapter 4 Algebraic Identities Exercise VSAQs Page Number 4.28
Exercise VSAQs Page No: 4.28
Question 1: If x + 1/x = 3, then find the value of x2 + 1/x2.
Solution:
x + 1/x = 3
Squaring both sides, we have
(x + 1/x)2 = 32
x2 + 1/x2 + 2 = 9
x2 + 1/x2 = 9 – 2 = 7
Question 2: If x + 1/x = 3, then find the value of x^6 + 1/x^6.
Solution:
x + 1/x = 3
Squaring both sides, we have
(x + 1/x)2 = 32
x2 + 1/x2 + 2 = 9
x2 + 1/x2 = 9 – 2 = 7
x2 + 1/x2 = 7 …(1)
Cubing equation (1) both sides,
Question 3: If a + b = 7 and ab = 12, find the value of a2 + b2.
Solution:
a + b = 7, ab = 12
Squaring, a + b = 7, both sides,
(a + b) 2 = (7) 2
a2 + b2 + 2ab = 49
a2 + b2 + 2 x 12 = 49
a2 + b2 + 24 = 49
a2 + b2 = 25
Question 4: If a – b = 5 and ab = 12, find the value of a2 + b2.
Solution:
a – b = 5, ab = 12
Squaring, a – b = 5, both sides,
(a – b)2 = (5)2
a2 + b2 – 2ab = 25
a2 + b2 – 2 x 12 = 25
a2 + b2 – 24 = 25
a2 + b2 = 49
RD Sharma Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise VSAQs
RD Sharma Solutions for Class 9 Maths Chapter 4 Algebraic Identities Exercise VSAQs are based on the following topics:
- Identity for the square of a trinomial
- Identity for the cube of a binomial
- Sum and difference of cubes
- Sum and difference of cubes identity
- Conditional identity
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