Revision Notes for ICSE Class 10 Math Chapter 6 - Free PDF Download
FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 6 - Solving Problems
1. How Vedantu helps Class 10 students to score good marks in Maths?
Vedantu is India's leading online learning platform that enables students to manage their studies. It helps students to excel in their studies and top in their class. For this, it provides different study materials like previous year's question papers, sample papers, mock tests, and important questions. Further, it also offers revision notes for all chapters including Chapter 6 Problem-Solving Class 10 Maths. These notes are prepared by our Maths subject matter experts who are specialized in the field of teaching and tend to provide all the necessary details in an easy language.
2. How to solve problems on Quadratic Equations as discussed in Class 10 Maths Chapter 6?
To solve problems on Quadratic Equations, students need to follow the given method.
The first thing that students need to do is denote the unknown value or quantity in the question by x.
Then students have to form a Quadratic Equation from the given statement or conditions.
Find the value of x.
x will be the required answer to the question. While solving for x, students need to keep in mind that the values of lengths, volumes, areas and money are always taken positively even if these values are negative.
3. According to Chapter 6 of Class 10 Mathematics, what is a Quadratic Equation?
A quadratic equation is a two-degree algebraic equation that can be presented in the form of ax^2 + bx + c = 0, where a and b are the coefficients, c is the constant term and x is the variable. The term 'Quadratic' is taken from Quad that means square. For an equation to be quadratic, the first condition is that the coefficient of x^2 should be a non-zero number (a ≠0). To write a quadratic equation in a standard form, the term that is written first is x^2, followed by the term,x and then the constant term is at last. The second condition is that the terms a, b, and c should be integers or non-decimal values.
4. What are the important formulas for solving Quadratic Equations as discussed in Class 10 Mathematics Chapter 6?
The following formulas are useful to solve Quadratic Equations.
The standard form of a Quadratic Equation is ax^2+bx+c=0.
The discriminant (D) of a Quadratic Equation is given as D=b^2-4ac. If D=0, the roots are equal and real. If D>0, the roots are distinct and real. If D<0, the roots are imaginary or do not exist.
The formula for finding the root of a Quadratic Equation is -b+root b^2-4ac or -b-root b^2-4ac.
The sum of the roots of a Quadratic Equation is -b/a or coefficient of x/ coefficient of x^2.
The product of the roots of a Quadratic Equation is c/a or constant term/ coefficient of x^2.
5. As discussed in Chapter 6 of Class 10 Maths, how are coefficients and roots of a Quadratic Equation related?
The coefficients of x, x^,2, and the constant term are useful to find the roots of a Quadratic Equation. Students can find the product and sum of roots without actually finding the roots of the equation. The sum of the roots is equal to the negative of x's coefficient divided by the coefficient of x^2. Whereas, the product of the roots is equal to the constant value divided by the coefficient of x^2. For a Quadratic Equation, the sum and products are-
Sum=-b/a or -coefficient of x/ coefficient of x^2
Product= c/a or constant term/ coefficient of x^2