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RD Sharma Class 9 Solutions provide comprehensive solutions to help students tackle math problems with ease. These solutions are designed to offer step-by-step guidance, allowing students to understand complex concepts more clearly. With expert-backed explanations, students can approach their studies with confidence.

RD Sharma Class 9 Solutions – Questions and Answers

Sample Questions and Answers:

• Find the value of $x$ in the equation $2x+5=15$.
  Answer: $x=5$.
• What is the area of a triangle with base 4 cm and height 6 cm?
  Answer: Area = 12×4×6=12 cm2 \frac{1}{2} \times 4 \times 6 = 12 \, \text{cm}^221​×4×6=12cm2.
• Simplify: $3a-4a+5b$.
  Answer: $-a+5b$.
• Solve for $y$: $3y+7=22$.
  Answer: $y=5$.
• What is the perimeter of a rectangle with length 8 cm and width 3 cm?
  Answer: Perimeter = $2\times (8+3)=22\text{cm}$.
• Solve: $2x-7=9$.
  Answer: $x=8$.

Books for RD Sharma Class 9 Solutions

1. RD Sharma Mathematics Class 9 – RD Sharma (Dhanpat Rai Publications)
   Topics: Algebra, Geometry, Trigonometry, Statistics. Focus on practice problems with step-by-step solutions.

2. Mathematics Class 9 – R.S. Aggarwal (S. Chand Publishing)
   Topics: Algebra, Probability, Coordinate Geometry, and more. Contains detailed explanations of mathematical problems.

3. Mathematics for Class 9 – R.D. Sharma (Dhanpat Rai)
   Topics: Quadratic equations, Geometry, Mensuration. Ideal for comprehensive practice with solutions.

4. ICSE Mathematics Class 9 – M.L. Aggarwal (Arihant Publications)
   Topics: Coordinate Geometry, Algebra. Perfect for ICSE students, with solutions explained.

5. Comprehensive Mathematics for Class 9 – S.K. Gupta (Rama Brothers)
   Topics: Algebra, Trigonometry, Linear Equations. Provides explanations for key problems and practice solutions.

6. Mathematics Class 9 – M.L. Aggarwal (Arihant Publications)
   Topics: Probability, Algebra, Arithmetic Progression. Strong focus on comprehensive understanding.

7. New Mathematics for Class 9 – R.D. Sharma (Rama Publications)
   Topics: Coordinate Geometry, Mensuration, Statistics. Helps students understand core concepts and provides exercises for practice.

8. Understanding Mathematics Class 9 – K.K. Gupta (S. Chand Publishing)
   Topics: Algebra, Geometry. Includes sample problems, solved examples, and practice questions.

9. Mathematics Class 9 – K. C. Sinha (Laxmi Publications)
   Topics: Polynomials, Linear Equations. Covers key mathematical topics with explained solutions.

10. Comprehensive Mathematics Class 9 – Dr. S.K. Gupta (S. Chand Publishing)
    Topics: Geometry, Algebra, Trigonometry. Offers solutions for comprehensive practice.

11. Higher Algebra for Class 9 – R. S. Agarwal (S. Chand Publishing)
    Topics: Polynomials, Algebraic Expressions. In-depth solutions for Algebra concepts.

12. Foundation of Mathematics for Class 9 – R.D. Sharma (Dhanpat Rai)
    Topics: Arithmetic Progression, Geometry. It contains solved examples and exercises.

13. Mathematics Workbook Class 9 – S. K. Gupta (Rama Brothers)
    Topics: Equations, Trigonometry, Geometry. Workbook with practice problems.

14. Maths Class 9 - A Complete Guide – R.D. Sharma (Dhanpat Rai Publications)
    Topics: Coordinate Geometry, Algebra. Offers problem-solving strategies and practice questions.

15. Mathematics for Class 9 – R.D. Sharma (Dhanpat Rai Publications)
    Topics: Probability, Trigonometry, Linear Equations. Includes solved problems with answers for easy understanding.

16. Class 9 Mathematics Workbook – A. K. Singh (S. Chand Publishing)
    Topics: Quadratic Equations, Geometry. Workbook focusing on exercises and practice questions.

17. Class 9 Mathematics Solutions – M. L. Aggarwal (Arihant Publications)
    Topics: Algebra, Geometry. Provides a thorough understanding through solved examples.

18. Integrated Mathematics Class 9 – Dr. K.C. Sinha (Rama Brothers)
    Topics: Trigonometry, Algebra, Mensuration. Emphasizes step-by-step solutions and practice problems.

19. Mathematics for Class 9 - A Complete Guide – R.D. Sharma (Dhanpat Rai Publications)
    Topics: Coordinate Geometry, Algebra. Easy-to-follow solutions with practice exercises.

20. Maths Lab Manual for Class 9 – R. D. Sharma (Dhanpat Rai Publications)
    Topics: Lab-based activities for class 9 mathematics. Hands-on learning with practical solutions.

21. Question 1:
    Solve the equation:
    $2x+5=15$

    Answer 1:
    $2x=15-5$
    $2x=10$
    x=102x = \frac{10}{2}x=210​
    $x=5$

    ---

    Question 2:
    Find the area of a triangle with base 4 cm and height 6 cm.

    Answer 2:
    Area = 12×Base×Height\frac{1}{2} \times \text{Base} \times \text{Height}21​×Base×Height
    Area = 12×4×6\frac{1}{2} \times 4 \times 621​×4×6
    Area = 12 cm²

    ---

    Question 3:
    Simplify:
    $3a-4a+5b$

    Answer 3:

    
    $3a-4a+5b=-a+5b$

    ---

    Question 4:
    Solve for $y$:
    $3y+7=22$

    Answer 4:
    $3y=22-7$
    $3y=15$
    y=153y = \frac{15}{3}y=315​
    $y=5$

    ---

    Question 5:

    
    What is the perimeter of a rectangle with length 8 cm and width 3 cm?

    Answer 5:
    Perimeter = $2\times (\text{Length}+\text{Width})$
    Perimeter = $2\times (8+3)$
    Perimeter = 22 cm

    ---

    Question 6:
    Solve:
    $2x-7=9$

    Answer 6:
    $2x=9+7$
    $2x=16$
    x=162x = \frac{16}{2}x=216​
    $x=8.$

     

    ---

    Question 7:
    Find the value of $x$ in the equation:
    $3x+5=17$

    Answer 7:
    $3x=17-5$
    $3x=12$
    x=123x = \frac{12}{3}x=312​
    $x=4$

    ---

    Question 8:
    What is the area of a rectangle with length 12 cm and width 5 cm?

    Answer 8:
    Area = $\text{Length}\times \text{Width}$
    Area = $12\times 5$
    Area = 60 cm²

    ---

    Question 9:

22. 
    Simplify the expression:
    $4x-3y+2xy.$

    Answer 9:
    $4x+2x-3y+y=6x-2y$

23.  

    ---

    Question 10:
    Solve the quadratic equation:
    x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0

    Answer 10:
    Factor the equation:
    $(x-2)(x-3)=0$
    So, $x=2$ or $x=3$

    ---

    Question 11:
    Find the surface area of a cube with side 6 cm.

    Answer 11:
    Surface area = 6×side26 \times \text{side}^26×side2
    Surface area = 6×62=6×36=216 cm26 \times 6^2 = 6 \times 36 = 216 \, \text{cm}^26×62=6×36=216cm2

    ---

    Question 12:
    Find the value of $x$ if:
    $5x-3=2x+6$

    Answer 12:
    $5x-2x=6+3$
    $3x=9$
    $x=3$

    ---

    Question 13:
    Find the area of a circle with radius 7 cm.

    Answer 13:
    Area = πr2\pi r^2πr2
    Area = 3.14×723.14 \times 7^23.14×72
    Area = 3.14×49=153.86 cm23.14 \times 49 = 153.86 \, \text{cm}^23.14×49=153.86cm2

    ---

    Question 14:
    Simplify the expression:
    $7x-5x+2y$

    Answer 14:
    $7x-5x+2y=2x+2y$

    ---

    Question 15:
    Solve the equation:
    $x+2=8$

    Answer 15:
    $x=8-2$
    $x=6$

    ---

    Question 16:
    Find the value of $x$ in the equation:
    $3x+4=16$

    Answer 16:
    $3x=16-4$
    $3x=12$
    x=123x = \frac{12}{3}x=312​
    $x=4$

    ---

    Question 17:
    What is the perimeter of a square with side length 9 cm?

    Answer 17:
    Perimeter = $4\times \text{side length}$
    Perimeter = $4\times 9=36\text{cm}$

    ---

    Question 18:
    Simplify:
    $2x+3y-x+4y$

    Answer 18:
    $2x-x+3y+4y=x+7y$

    ---

    Question 19:
    Solve the equation:
    $4x-7=2x+5$

    Answer 19:
    $4x-2x=5+7$
    $2x=12$
    x=122x = \frac{12}{2}x=212​
    $x=6$

    ---

    Question 20:
    Find the value of $y$ in the equation:
    $3y-5=16$

    Answer 20:
    $3y=16+5$
    $3y=21$
    y=213y = \frac{21}{3}y=321​
    $y=7$

24. Question 21:
    Solve the quadratic equation:
    x2−9=0x^2 - 9 = 0x2−9=0

    Answer 21:
    x2=9x^2 = 9x2=9
    $x=3$ or $x=-3$

    ---

    Question 22:
    Find the area of a trapezium with parallel sides 8 cm and 10 cm, and height 6 cm.

    Answer 22:
    Area = 12×(a+b)×h\frac{1}{2} \times (a + b) \times h21​×(a+b)×h
    Area = 12×(8+10)×6\frac{1}{2} \times (8 + 10) \times 621​×(8+10)×6
    Area = 12×18×6=54 cm2\frac{1}{2} \times 18 \times 6 = 54 \, \text{cm}^221​×18×6=54cm2

    ---

    Question 23:
    Solve:
    $2x+4=12$

    Answer 23:
    $2x=12-4$
    $2x=8$
    x=82x = \frac{8}{2}x=28​
    $x=4$

    ---

    Question 24:
    What is the surface area of a sphere with radius 5 cm?

    Answer 24:
    Surface area = 4πr24 \pi r^24πr2
    Surface area = 4×3.14×524 \times 3.14 \times 5^24×3.14×52
    Surface area = 4×3.14×25=314 cm24 \times 3.14 \times 25 = 314 \, \text{cm}^24×3.14×25=314cm2

    ---

    Question 25:
    Simplify:
    $4y-2y+6$

    Answer 25:
    $4y-2y+6=2y+6$

    ---

    Question 26:
    Solve the equation:
    $6x+2=20$

    Answer 26:
    $6x=20-2$
    $6x=18$
    x=186x = \frac{18}{6}x=618​
    $x=3$

    ---

    Question 27:
    Find the value of $x$ in the equation:
    $7x-3=25$

    Answer 27:
    $7x=25+3$
    $7x=28$
    x=287x = \frac{28}{7}x=728​
    $x=4$

    ---

    Question 28:
    What is the area of a square with side length 5 cm?

    Answer 28:
    Area = side2\text{side}^2side2
    Area = 52=25 cm25^2 = 25 \, \text{cm}^252=25cm2

    ---

    Question 29:
    Simplify:
    $5x-3x+2y$

    Answer 29:
    $5x-3x+2y=2x+2y$

    ---

    Question 30:
    Find the perimeter of a rectangle with length 10 cm and width 6 cm.

    Answer 30:
    Perimeter = $2\times (\text{Length}+\text{Width})$
    Perimeter = $2\times (10+6)=32cm.$

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