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Needed a Document for Most important formulas of mathematics class 10th of all chapters?
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Most Important Formulas of Mathematics Class 10th
Algebra
- Quadratic Formula: The quadratic formula is used to find the roots of a quadratic equation. It is given by x = (-b ± √(b^2 - 4ac))/(2a), where ax^2 + bx + c = 0.
- Distance Formula: The distance formula is used to find the distance between two points in a coordinate plane. It is given by d = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
- Midpoint Formula: The midpoint formula is used to find the coordinates of the midpoint between two points. It is given by (x, y) = ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Geometry
- Pythagorean Theorem: The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It is given by c = √(a^2 + b^2), where a and b are the lengths of the two legs of the triangle and c is the length of the hypotenuse.
- Area of a Triangle: The area of a triangle can be found using the formula A = (1/2)bh, where b is the base of the triangle and h is the height.
- Area of a Circle: The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle.
- Perimeter of a Rectangle: The perimeter of a rectangle can be found using the formula P = 2(l + w), where l is the length and w is the width of the rectangle.
Trigonometry
- Sine, Cosine, and Tangent: The trigonometric ratios sine, cosine, and tangent are used to find the unknown side lengths or angles of a right triangle. They are given by sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse, tanθ = opposite/adjacent.
Coordinate Geometry
The study of geometry on a coordinate plane is known as coordinate geometry. It involves using coordinates to solve geometric problems.
Important Definitions and Formulas in Coordinate Geometry:
- Distance Formula: The distance formula is used to find the distance between two points in a coordinate plane. It is given by d = √((x2 - x1)^2 + (y2 - y1)^2).
- Midpoint Formula: The midpoint formula is used to find the coordinates of the midpoint between two points. It is given by (x, y) = ((x1 + x2)/2, (y1 + y2)/2).
- Slope Formula: The slope formula is used to find the slope of a line passing through two points. It is given by m = (y2 - y1)/(
Algebra
- Quadratic Formula: The quadratic formula is used to find the roots of a quadratic equation. It is given by x = (-b ± √(b^2 - 4ac))/(2a), where ax^2 + bx + c = 0.
- Distance Formula: The distance formula is used to find the distance between two points in a coordinate plane. It is given by d = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
- Midpoint Formula: The midpoint formula is used to find the coordinates of the midpoint between two points. It is given by (x, y) = ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Geometry
- Pythagorean Theorem: The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It is given by c = √(a^2 + b^2), where a and b are the lengths of the two legs of the triangle and c is the length of the hypotenuse.
- Area of a Triangle: The area of a triangle can be found using the formula A = (1/2)bh, where b is the base of the triangle and h is the height.
- Area of a Circle: The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle.
- Perimeter of a Rectangle: The perimeter of a rectangle can be found using the formula P = 2(l + w), where l is the length and w is the width of the rectangle.
Trigonometry
- Sine, Cosine, and Tangent: The trigonometric ratios sine, cosine, and tangent are used to find the unknown side lengths or angles of a right triangle. They are given by sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse, tanθ = opposite/adjacent.
Coordinate Geometry
The study of geometry on a coordinate plane is known as coordinate geometry. It involves using coordinates to solve geometric problems.
Important Definitions and Formulas in Coordinate Geometry:
- Distance Formula: The distance formula is used to find the distance between two points in a coordinate plane. It is given by d = √((x2 - x1)^2 + (y2 - y1)^2).
- Midpoint Formula: The midpoint formula is used to find the coordinates of the midpoint between two points. It is given by (x, y) = ((x1 + x2)/2, (y1 + y2)/2).
- Slope Formula: The slope formula is used to find the slope of a line passing through two points. It is given by m = (y2 - y1)/(
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Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry?
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Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry? 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 Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry?.
Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry? 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 Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Needed a Document for Most important formulas of mathematics class 10th of all chapters? Related: Important definitions and formulas - Coordinate Geometry?.
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