10th Class Math Notes
Complete handwritten 10th class math notes by Dear Respectable Sir M. Ramzan Suib. These handwritten notes are very helpful in the preparation of 10th class math notes for students of the 10th class Mathematics and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Important 10 class math notes pdf for all students of Punjab Textbook Board.
- Solutions of Chapter No.1: Quadratic Equations of Mathematics 10th class.
- Solutions of Chapter No.2: Theory of Quadratic Equations of Mathematics 10th class.
- Solutions of Chapter No.3: Variations of Mathematics 10th class.
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- Solutions of Chapter No.5: Sets and Functions of Mathematics 10th class.
- Solutions of Chapter No.7: Introduction to Trigonometry of Mathematics 10th class.
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- Solutions of Problems of Mathematics 10th class.
- Multiple Choice Questions. Four possible answers are given for the following questions. Tick (✔) the correct answer.
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- (i). Standard form of quadratic equation is: (a) bx + c = 0 , b ≠ 0 (b) ax² + bx + c = 0 , a ≠ 0 (c) ax² + bx , a ≠ 0 (d) ax² = 0 , a ≠ 0
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- (ii). The number of terms in a standard quadratic equation ax² + bx + c = 0 is: (a) 1 (b) 2 (c) 3 (d) 4
- (iii). The number of methods to solve a quadratic equation is: (a) 1 (b) 2 (c) 3 (d) 4
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- (iv). The quadratic formula is: (a) x = - b ± √b² - 4ac / 2a (b) x = b ± √b² - 4ac / 2a (c) x = - b ± √b² + 4ac / 2a (d) x = b ± √b² + 4ac / 2a
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- (v) Two linear factors of x² - 15x + 56 are: (a) (x-7) and (x + 8) (b) (x+7) and (x-8) (c) (x - 7) and (x - 8) (d) (x + 7) and (x + 8)
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- (vi). An equation, which remains unchanged when x is replaced by 1 / x is called a/an: (a) Exponential equation (b) Radical equation (c) Reciprocal equation (d) None of these
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- (vii). An equation of the type 3^x + 3^2 -x + 6 = 0 is a/an: (a) Exponential equation (b) Radical equation (c) Reciprocal equation (d) None of these
- (viii) The solution set of equation 4x² - 16 = 0 is: (a) { ±4 } (b) { 4 } (c) { ±2 } (d) { ±2 }
- Important 10th maths notes pdf for all students of Punjab Textbook Board.
- (ix) An equation of the form 2x^4 - 3x^3 + 7x^2 - 3x + 2 = 0 is called a/an: (a) Reciprocal equation (b) Radical equation (c) Exponential equation (d) None of these
- Write short answers of the following questions.
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- (i) Solve x² + 2x - 2 = 0
- (ii) Solve by factorization 5x² = 15x
- (iii) Write in standard form 1 / x + 4 + 1 / x - 4 = 3
- Important 10th maths notes pdf download for all students of Punjab Textbook Board.
- (iv) Write the names of the methods for solving a quadratic equation.
- (v) Solve ( 2x - 1 / 2 )² = 9 / 4
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- (vi) Solve √3x + 18 = x
- (vii) Define quadratic equation.
- (viii) Define reciprocal equation.
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- (ix) Define exponential equation.
- (x) Define radical equation.
- (i) The standard form of the quadratic equation is .......
- Important class 10 maths notes pdf download for all students of Punjab Textbook Board.
- (ii) The number of methods to solve a quadratic equation are .......
- (iii) The name of the method to derive a quadratic formula is .......
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- (iv) The solution of the equation ax² + bx + c = 0, a ≠ 0 is .......
- (v) The solution set of 25x² - 1 = 0 is .......
- (vi) An equation of the form 2^2x - 3.2x + 5 = 0 is called a/an ....... equation.
- (vii) The solution set of the equation x² - 9 = 0 is .......
- Important class 10th maths notes pdf for all students of Punjab Textbook Board.
- (viii) An equation of the type x^4 + x^3 + x^2 + x + 1 = 0 called a/an ....... equation.
- (ix) A root of an equation, which do not satisfy the equation is called ....... root.
- (x) An equation involving impression of the variable under ....... is called radical equation.
- Important 10th class math notes pdf for all students of Punjab Textbook Board.