NCERT SOLUTIONS FOR CLASS 10 MATHS CHAPTER 4 QUADRATIC EQUATIONS EX 4.2
Chapter 4 in Class 10 CBSE Maths
Class 10 Maths Quadratic Equations Notes
NCERT Solutions for Class 10 Maths Exercise 4.4 Chapter 4
SOLUTION: Quadratic Equation Practice Questions with Solution 10 Class
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PDF CLASS-X MATHEMATICS WORKSHEET CHAPTER-4: QUADRATIC EQUATIONS
Q9. If sinθ and cosθ are roots of the equation ax2 +bx +c = 0, prove that a2 -b2 +2ac = 0. Q10. If one root of the equation 3x2 -kx -2 = 0 is 2, find the value of k. Also find the other root. Q11. If -5 is a root of the quadratic equation 2x2 +px -15 = 0 and the quadratic equation p(x2 +x) + k = 0 has equal roots, find the value of k. Q12.
NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations
NCERT Solutions for Class 10 Maths Chapter 4 - Quadratic Equations. A 1-mark question was asked from Chapter 4 Quadratic Equations in the year 2018. However, in the year 2017, a total of 13 marks were asked from the topic Quadratic Equations. Therefore, students need to have a thorough understanding of the topic.
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations
There are in all 4 exercises in class 10 mathematics chapter 4 (Quadratic equations). In first exercise (Ex 4.1), there are only 2 questions (Q1 having 8 parts and Q2 having 4 parts). In second exercise (Ex 4.2), there are in all 6 questions. In fourth exercise (Ex 4.3), there are in all 5 questions.
Important Questions Class 10 Maths Chapter 4 Quadratic Equations
Q.1: Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (ii) A train travels a distance of 480 km at a uniform speed.
Chapter 4 Class 10 Quadratic Equations
Solution of a Quadratic Equation by Factorisation ( Splitting the Middle Term method) Solving a Quadratic Equation by Completing the Square. Solving a Quadratic Equation using D Formula (x = -b ± √b 2 - 4ac / 2a) Checking if roots are real, equal or no real roots (By Checking the value of D = b 2 - 4ac) This chapter is divided into two parts ...
NCERT Solutions for Quadratic Equation Class 10 Maths Chapter 4
Important Points from NCERT Class 10 Quadratic Equations. A quadratic equation can be represented as: ax 2 + bx + c = 0. Where x is the variable of the equation and a, b and c are the real numbers. Also, a≠0. The nature of roots of a quadratic equation ax 2 + bx + c = 0 can be find as: Condition.
PDF Quadratic Equations 4
A quadratic equation in the variable x is an equation of the form ax2 + bx + c = 0, where a, b, c are real numbers, a 0. For example, 2x2 + x - 300 = 0 is a quadratic equation. ≠ Similarly, 2x2 - 3x + 1 = 0, 4x - 3x2 + 2 = 0 and 1 - x2 + 300 = 0 are also quadratic equations. In fact, any equation of the form p(x) = 0, where p(x) is a ...
NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations Ex 4.1
You can also watch the video solutions of NCERT Class10 Maths chapter 4 Quadratic Equations here. Ex 4.1 Class 10 Maths Question 2. Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m 2. The length of the plot (in metres) is one more than twice its breadth.
NCERT Solutions for Class 10 Math Chapter 4
Question 2: Represent the following situations in the form of quadratic equations. (i) The area of a rectangular plot is 528 m 2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (ii) The product of two consecutive positive integers is 306.
Important Questions for Class 10 Maths Chapter 4 Quadratic Equations
2016. Short Answer Type Questions I [2 Marks] Question 1. If x= 2/3 and x = - 3 are roots of the quadratic equations ax 2 + lx + b = 0, find the values of a and b. Question 2. If- 5 is a root of the quadratic equation 2x 2 + px -15 = 0 and the quadratic equation p (x 2 + x) + k = 0 has equal roots, find the value of k.
Math Assignment Class X Ch-4
Extra questions of chapter 4 class 10 Quadratic Equations with answer and hints to the difficult questions. Important and useful math assignment for the students of class 10. For better results. Students should learn all the basic points of Quadratic Equations. Student should revise N C E R T book thoroughly with examples.
Important Questions for Class 10 Maths Chapter 4 Quadratic Equations
Important Questions for Class 10 Maths Chapter 4 Quadratic Equations Quadratic Equations Class 10 Important Questions Very Short Answer (1 Mark) Question 1. Find the roots of the equation x2 - 3x - m (m + 3) = 0, where m is a constant. (2011OD) Solution: x2 - 3x - m(m + 3) = 0 […]
NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3
Here we have given NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3. Ex 4.3 Class 10 Maths Question 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x 2 - 7x + 3 = 0. (ii) 2x 2 + x - 4 = 0. (iii) 4x 2 + 4√3x + 3 = 0. (iv) 2x 2 + x + 4 = 0.
NCERT Solutions for Class 10 Maths Chapter 4
Access Answers of Maths NCERT Class 10 Chapter 4- Quadratic Equations Exercise 4.3. 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2 - 7x +3 = 0. (iv) 2x2 + x + 4 = 0. Solutions:
Quadratic Equation Class 10 Notes Chapter 4
In the method of completing the squares, the quadratic equation is expressed in the form (x±k) 2 =p 2. Consider the quadratic equation 2x 2 −8x=10. (i) Express the quadratic equation in standard form. 2x 2 −8x−10=0. (ii) Divide the equation by the coefficient of x 2 to make the coefficient of x 2 equal to 1. x 2 −4x−5=0.
PDF Assignment Class X Quadratic Equations
Assignment Class X Quadratic Equations Q1.Find the value of k in each of the following quadratic equations, for which the given value of x is a root of the given quadratic equation. (a) 3x2 - kx - 2 = 0, x = 2 (b) 14x2 - 27x + k = 0; x = 5/2 Q2.Solve the following quadratic equations:
Assignment
The "Assignment - Quadratic Equation, Class 10 Mathematics Class 10 Questions" guide is a valuable resource for all aspiring students preparing for the Class 10 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring ...
CBSE Class 10 Maths Formulas Chapter-04
Basic concepts on Quadratic Equation class 10, chapter 4, Nature of roots, Discriminant, Quadratic Formula, method of completing the square. ... definitions and formulas of mathematics, mathematics assignments for 9th standard to 10+2 standard, maths study material for 8th, 9th, 10th, 11th, 12th classes, Mathematics lesson plan for classes 8th ...
Assignments For Class 10 Mathematics Quadratic Equation
Assignments for Class 10 Mathematics Quadratic Equation have been developed for Standard 10 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 10 Mathematics Quadratic Equation from our website as we have provided all ...
NCERT Exemplar Class 10 Maths Solutions for Chapter 4
The real roots of equation f (x) = 0 are the x-coordinates of the points where the curve y = f (x) intersects the x-axis. 1. One of the roots of the quadratic equation is zero, and the other is -b/a if c = 0. 2. Both the roots are zero if b = c = 0. 3. The roots are reciprocal to each other if a = c. Also Access. NCERT Solutions for Class 10 ...
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Q9. If sinθ and cosθ are roots of the equation ax2 +bx +c = 0, prove that a2 -b2 +2ac = 0. Q10. If one root of the equation 3x2 -kx -2 = 0 is 2, find the value of k. Also find the other root. Q11. If -5 is a root of the quadratic equation 2x2 +px -15 = 0 and the quadratic equation p(x2 +x) + k = 0 has equal roots, find the value of k. Q12.
NCERT Solutions for Class 10 Maths Chapter 4 - Quadratic Equations. A 1-mark question was asked from Chapter 4 Quadratic Equations in the year 2018. However, in the year 2017, a total of 13 marks were asked from the topic Quadratic Equations. Therefore, students need to have a thorough understanding of the topic.
There are in all 4 exercises in class 10 mathematics chapter 4 (Quadratic equations). In first exercise (Ex 4.1), there are only 2 questions (Q1 having 8 parts and Q2 having 4 parts). In second exercise (Ex 4.2), there are in all 6 questions. In fourth exercise (Ex 4.3), there are in all 5 questions.
Q.1: Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (ii) A train travels a distance of 480 km at a uniform speed.
Solution of a Quadratic Equation by Factorisation ( Splitting the Middle Term method) Solving a Quadratic Equation by Completing the Square. Solving a Quadratic Equation using D Formula (x = -b ± √b 2 - 4ac / 2a) Checking if roots are real, equal or no real roots (By Checking the value of D = b 2 - 4ac) This chapter is divided into two parts ...
Important Points from NCERT Class 10 Quadratic Equations. A quadratic equation can be represented as: ax 2 + bx + c = 0. Where x is the variable of the equation and a, b and c are the real numbers. Also, a≠0. The nature of roots of a quadratic equation ax 2 + bx + c = 0 can be find as: Condition.
A quadratic equation in the variable x is an equation of the form ax2 + bx + c = 0, where a, b, c are real numbers, a 0. For example, 2x2 + x - 300 = 0 is a quadratic equation. ≠ Similarly, 2x2 - 3x + 1 = 0, 4x - 3x2 + 2 = 0 and 1 - x2 + 300 = 0 are also quadratic equations. In fact, any equation of the form p(x) = 0, where p(x) is a ...
You can also watch the video solutions of NCERT Class10 Maths chapter 4 Quadratic Equations here. Ex 4.1 Class 10 Maths Question 2. Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m 2. The length of the plot (in metres) is one more than twice its breadth.
Question 2: Represent the following situations in the form of quadratic equations. (i) The area of a rectangular plot is 528 m 2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (ii) The product of two consecutive positive integers is 306.
2016. Short Answer Type Questions I [2 Marks] Question 1. If x= 2/3 and x = - 3 are roots of the quadratic equations ax 2 + lx + b = 0, find the values of a and b. Question 2. If- 5 is a root of the quadratic equation 2x 2 + px -15 = 0 and the quadratic equation p (x 2 + x) + k = 0 has equal roots, find the value of k.
Extra questions of chapter 4 class 10 Quadratic Equations with answer and hints to the difficult questions. Important and useful math assignment for the students of class 10. For better results. Students should learn all the basic points of Quadratic Equations. Student should revise N C E R T book thoroughly with examples.
Important Questions for Class 10 Maths Chapter 4 Quadratic Equations Quadratic Equations Class 10 Important Questions Very Short Answer (1 Mark) Question 1. Find the roots of the equation x2 - 3x - m (m + 3) = 0, where m is a constant. (2011OD) Solution: x2 - 3x - m(m + 3) = 0 […]
Here we have given NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3. Ex 4.3 Class 10 Maths Question 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x 2 - 7x + 3 = 0. (ii) 2x 2 + x - 4 = 0. (iii) 4x 2 + 4√3x + 3 = 0. (iv) 2x 2 + x + 4 = 0.
Access Answers of Maths NCERT Class 10 Chapter 4- Quadratic Equations Exercise 4.3. 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2 - 7x +3 = 0. (iv) 2x2 + x + 4 = 0. Solutions:
In the method of completing the squares, the quadratic equation is expressed in the form (x±k) 2 =p 2. Consider the quadratic equation 2x 2 −8x=10. (i) Express the quadratic equation in standard form. 2x 2 −8x−10=0. (ii) Divide the equation by the coefficient of x 2 to make the coefficient of x 2 equal to 1. x 2 −4x−5=0.
Assignment Class X Quadratic Equations Q1.Find the value of k in each of the following quadratic equations, for which the given value of x is a root of the given quadratic equation. (a) 3x2 - kx - 2 = 0, x = 2 (b) 14x2 - 27x + k = 0; x = 5/2 Q2.Solve the following quadratic equations:
The "Assignment - Quadratic Equation, Class 10 Mathematics Class 10 Questions" guide is a valuable resource for all aspiring students preparing for the Class 10 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring ...
Basic concepts on Quadratic Equation class 10, chapter 4, Nature of roots, Discriminant, Quadratic Formula, method of completing the square. ... definitions and formulas of mathematics, mathematics assignments for 9th standard to 10+2 standard, maths study material for 8th, 9th, 10th, 11th, 12th classes, Mathematics lesson plan for classes 8th ...
Assignments for Class 10 Mathematics Quadratic Equation have been developed for Standard 10 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 10 Mathematics Quadratic Equation from our website as we have provided all ...
The real roots of equation f (x) = 0 are the x-coordinates of the points where the curve y = f (x) intersects the x-axis. 1. One of the roots of the quadratic equation is zero, and the other is -b/a if c = 0. 2. Both the roots are zero if b = c = 0. 3. The roots are reciprocal to each other if a = c. Also Access. NCERT Solutions for Class 10 ...