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What are the important formulas and theorems to remember in CBSE Class 10 mathematics?
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What are the important formulas and theorems to remember in CBSE Class...
Important Formulas and Theorems in CBSE Class 10 Mathematics
1. Quadratic Equations:
- Quadratic Formula: The solutions of the quadratic equation ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0, can be found using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
2. Similarity of Triangles:
- AA Similarity Criterion: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
- SAS Similarity Criterion: If an angle of one triangle is congruent to an angle of another triangle, and the lengths of the sides including these angles are proportional, then the triangles are similar.
- SSS Similarity Criterion: If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
3. Trigonometry:
- Trigonometric Ratios: In a right-angled triangle, the trigonometric ratios of an angle θ are defined as:
- Sine (sin θ) = Opposite/Hypotenuse
- Cosine (cos θ) = Adjacent/Hypotenuse
- Tangent (tan θ) = Opposite/Adjacent
- Pythagorean Theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be represented as: c^2 = a^2 + b^2 (where c is the hypotenuse, and a and b are the other two sides).
4. Areas and Volumes:
- Area of a Triangle: The area of a triangle with base b and height h is given by the formula: Area = (1/2) * b * h.
- Area of a Circle: The area of a circle with radius r is given by the formula: Area = π * r^2.
- Volume of a Cylinder: The volume of a cylinder with radius r and height h is given by the formula: Volume = π * r^2 * h.
5. Coordinate Geometry:
- Distance Formula: The distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by the formula: √((x2 - x1)^2 + (y2 - y1)^2).
- Section Formula: The coordinates of the point dividing a line segment joining two points (x1,
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What are the important formulas and theorems to remember in CBSE Class 10 mathematics?
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What are the important formulas and theorems to remember in CBSE Class 10 mathematics? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What are the important formulas and theorems to remember in CBSE Class 10 mathematics? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the important formulas and theorems to remember in CBSE Class 10 mathematics?.
What are the important formulas and theorems to remember in CBSE Class 10 mathematics? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What are the important formulas and theorems to remember in CBSE Class 10 mathematics? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What are the important formulas and theorems to remember in CBSE Class 10 mathematics?.
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