Selina class 9 maths solution for all topics and exercises

Mathematics is one of the most important subjects in the academic curriculum, especially for Class 9 students. The Selina textbook is widely used for learning and understanding concepts in mathematics. It provides a structured approach to complex topics, making them easier to grasp. By following the solutions provided in the Selina Class 9 Maths solutions, students can clear their doubts and understand the concepts better. This article covers the questions and solutions of various chapters in Selina Class 9 Maths, helping students practice and prepare effectively for exams.

 

Here's a table with some topic-related information regarding the "Selina Class 9 Maths Solutions" to provide a better understanding for students:

Topic Concept Key Formula/Method Importance in Class 9
Algebra Simplifying expressions, solving equations 3x + 2 = 8, x = (8 - 2)/3 Essential for solving linear equations and inequalities
Geometry Properties of shapes, angles, area, perimeter Area = l × b (rectangle), A = ½ × b × h (triangle) Helps understand the properties of 2D and 3D shapes
Trigonometry Ratios of angles, sine, cosine, tangent sin(θ) = opposite/hypotenuse Important for solving angle-related problems and applications in real life
Statistics Mean, median, mode, probability Mean = (Sum of all data points) / (Number of data points) Key for analyzing data and interpreting results
Mensuration Surface area and volume of solids Volume = πr²h (cylinder), Surface Area = 6a² (cube) Critical for understanding space, dimensions, and measurements
Quadratic Equations Solving quadratic equations ax² + bx + c = 0, use of factorization or quadratic formula Key topic for higher-level algebraic concepts
Linear Equations Solving for variables in linear form y = mx + b (slope-intercept form) Fundamental for understanding graphs and functions

This table summarizes essential topics and methods from the Class 9 Selina Maths solutions, making it easier for students to review key concepts and understand their importance for both exams and practical application.

Question 1:

Question: What is the value of √(64)?

Answer: The value of √(64) is 8.

Question 2:

Question: Simplify: 5x + 3x.

Answer: The simplified expression is 8x.

Question 3:

Question: What is the perimeter of a rectangle with length 6 cm and width 4 cm?

Answer: The perimeter of the rectangle is 20 cm.

Question 4:

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

Answer: The area of the circle is 154 cm² (πr²).

Question 5:

Question: If a triangle has sides 3 cm, 4 cm, and 5 cm, is it a right-angled triangle?

Answer: Yes, the triangle is a right-angled triangle.

Question 6:

Question: Solve for x: 3x + 4 = 10.

Answer: x = 2.

Question 7:

Question: What is the value of π?

Answer: The value of π is approximately 3.1416.

Question 8:

Question: Simplify: 2a - 3a + 4.

Answer: The simplified expression is -a + 4.

Question 9:

Question: What is the sum of the angles of a triangle?

Answer: The sum of the angles of a triangle is 180°.

Question 10:

Question: What is the formula for the area of a rectangle?

Answer: The formula for the area of a rectangle is length × width.

Question 11:

Question: Find the value of 2/3 + 5/6.

Answer: The sum of 2/3 + 5/6 is 7/6 or 1 1/6.

Question 12:

Question: What is the value of 15% of 200?

Answer: 15% of 200 is 30.

Question 13:

Question: Simplify: 4x - 2x + 3y - 4y.

Answer: The simplified expression is 2x - y.

Question 14:

Question: What is the formula for the area of a triangle?

Answer: The formula for the area of a triangle is (1/2) × base × height.

Question 15:

Question: If the radius of a circle is 14 cm, what is its circumference?

Answer: The circumference of the circle is 87.92 cm (2πr).

Question 16:

Question: Solve for x: 5x - 7 = 3x + 5.

Answer: x = 6.

Question 17:

Question: Find the value of (x + 3)(x - 4).

Answer: The value of (x + 3)(x - 4) is x² - x - 12.

Question 18:

Question: What is the LCM of 6 and 8?

Answer: The LCM of 6 and 8 is 24.

Question 19:

Question: What is the HCF of 18 and 24?

Answer: The HCF of 18 and 24 is 6.

Question 20:

Question: Solve for x: 2x + 5 = 17.

Answer: x = 6.

Question 21:

Question: What is the volume of a cube with a side length of 5 cm?

Answer: The volume of the cube is 125 cm³.

Question 22:

Question: Simplify: 3a² - 4a + 5a².

Answer: The simplified expression is 8a² - 4a.

Question 23:

Question: Find the distance traveled by an object moving at 20 m/s for 5 seconds.

Answer: The distance traveled is 100 meters (speed × time).

Question 24:

Question: What is the formula for the surface area of a sphere?

Answer: The formula for the surface area of a sphere is 4πr².

Question 25:

Question: Simplify: 7x + 3x - 4y.

Answer: The simplified expression is 10x - 4y.

Question 26:

Question: Find the square root of 121.

Answer: The square root of 121 is 11.

Question 27:

Question: What is the formula for the volume of a cylinder?

Answer: The formula for the volume of a cylinder is πr²h.

Question 28:

Question: What is the difference between an arithmetic sequence and a geometric sequence?

Answer: In an arithmetic sequence, each term differs by a constant difference, while in a geometric sequence, each term is multiplied by a constant ratio.

Question 29:

Question: Find the area of a square with a side length of 9 cm.

Answer: The area of the square is 81 cm².

Question 30:

Question: What is the formula for the Pythagorean theorem?

Answer: The formula for the Pythagorean theorem is a² + b² = c².

Question 31:

Question: Solve for x: 4x + 5 = 2x + 9.

Answer: x = 2.

Question 32:

Question: What is the area of a triangle with a base of 10 cm and height of 8 cm?

Answer: The area of the triangle is 40 cm².

Question 33:

Question: What is the product of 5 and 7?

Answer: The product of 5 and 7 is 35.

Question 34:

Question: What is the sum of the first 10 natural numbers?

Answer: The sum of the first 10 natural numbers is 55.

Question 35:

Question: What is the value of 4² + 3²?

Answer: The value of 4² + 3² is 16 + 9 = 25.

Question 36:

Question: Solve for x: 3x - 6 = 12.

Answer: x = 6.

Question 37:

Question: What is the formula for the area of a parallelogram?

Answer: The formula for the area of a parallelogram is base × height.

Question 38:

Question: Find the square root of 49.

Answer: The square root of 49 is 7.

Question 39:

Question: What is the volume of a cone with radius 5 cm and height 10 cm?

Answer: The volume of the cone is 261.8 cm³ (1/3πr²h).

Question 40:

Question: What is the difference between a rational number and an irrational number?

Answer: A rational number can be written as a fraction, while an irrational number cannot be written as a fraction.

Question 41:

Question: Simplify: 3x² - 2x² + 5x - 3x.

Answer: The simplified expression is x² + 2x.

Question 42:

Question: What is the surface area of a cuboid with length 4 cm, width 3 cm, and height 5 cm?

Answer: The surface area of the cuboid is 94 cm².

Question 43:

Question: What is the formula for the volume of a rectangular prism?

Answer: The formula for the volume of a rectangular prism is length × width × height.

Question 44:

Question: Solve for x: 2x - 3 = 7.

Answer: x = 5.

Question 45:

Question: What is the LCM of 4, 6, and 8?

Answer: The LCM of 4, 6, and 8 is 24.

Question 46:

Question: What is the area of a rhombus with diagonals of 6 cm and 8 cm?

Answer: The area of the rhombus is 24 cm² (1/2 × d₁ × d₂).

Question 47:

Question: What is the perimeter of an equilateral triangle with side length 7 cm?

Answer: The perimeter of the equilateral triangle is 21 cm.

Question 48:

Question: Find the sum of the angles in a quadrilateral.

Answer: The sum of the angles in a quadrilateral is 360°.

Question 49:

Question: What is the formula for the surface area of a cube?

Answer: The formula for the surface area of a cube is 6a², where a is the side length.

Question 50:

Question: Find the value of (x + 2)(x + 5).

Answer: The value of (x + 2)(x + 5) is x² + 7x + 10.


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