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NCERT Solutions for Class 10 Maths Exercise Chapter 4- quadratic equations
Mathematics NCERT Grade 10, Chapter 4 Quadratic Equations. In the beginning, an example of a rectangular prayer hall is given and from the given situation length and breadth of a rectangular hall is obtained. This example is given to show how the quadratic equations can be used to solve real-life problems. ax2 + bx + c = 0 is the standard form of a quadratic equation where a ?.� Hence, the given equation is a quadratic equation. Video Solution for quadratic equations (Page: 73, myboat010 boatplans: 1). NCERT Solution for Class 10 math - quadratic equations 73, Question 1. Page No Question 2. 10th NCERT Maths Chapter- 4 Quadratic Equations Introduction All methods that will use in this chapter are exhorted utterly For more videos visit MOLLY LECTION. Now prepare for your annual Mathematics exam in a more effective and organised way by practicing the NCERT questions for CBSE Class 10 chapter - Quadratic Equat.

When we equate the quadratic polynomial to zero, then we get a quadratic equation. Latest : Trouble with homework? Post your queries of Maths and Science with step-by-step solutions instantly. Ask Mr AL. Q1 i Check whether the following are quadratic equations :. We have L. Therefore, can be written as:. This equation is 10th Ncert Quadratic Equation Key of type:. Hence, the given equation is a quadratic equation. Q1 ii Check whether the following are quadratic equations :. Given equation can be written as:.

Q1 iii Check whether the following are quadratic equations :. S can be written as:. The equation is of the type:. Q1 iv Check whether the following are quadratic equations :. Q1 v Check whether the following are quadratic equations :. Q1 vi Check whether the following are quadratic equations :. This equation is NOT of type:. Q1 vii Check whether the following are quadratic equations :.

Hence, the given equation is not a quadratic equation. Q1 viii Check whether the following are quadratic equations :. Q2 i Represent the following situations in the form of quadratic equations : The area of a rectangular plot is.

The length of the plot in meters is one more than twice its breadth. We need to find the length and breadth of the plot. Given the area of a rectangular plot is.

Let the breadth of the plot be. Then, the length of the plot will be:. Therefore the area will be:. Hence, the length and breadth of the plot will satisfy the equation.

Q2 ii Represent the following situations in the form of quadratic equations : The product of two consecutive positive integers is We need to find the integers. Given the product of two consecutive integers is. Let two consecutive integers be and. Then, their product will be:. Hence, the two consecutive integers will satisfy this quadratic equation. The product of their ages in years 3 years from now will be Let the age of Rohan be years.

Then his mother age will be: years. After three years,. Rohan's age will be years and his mother age will be years. Then according 10th Ncert Quadratic Equation Video to question,. The product of their ages 3 years from now will be:. Hence, the age of Rohan satisfies the quadratic equation. Q2 iv Represent the following situations in the form of quadratic equations : A train travels a distance of km at a uniform speed.

We need to find the speed of the train. The distance to be covered by the train is. The time taken will be. If the speed had been less, the time taken would be:. Now, according to question. Dividing by 3 on both the side. Hence, the speed of the train satisfies the quadratic equation. Q1 i Find the roots of the following quadratic equations by factorization:.

Given the quadratic equation:. Factorization gives,. Hence, the roots of the given quadratic equation are. Q1 ii Find the roots of the following quadratic equations by factorization:. Factorisation gives,. Q1 iii Find the roots of the following quadratic equations by factorization:. Q1 iv Find the roots of the following quadratic equations by factorization:.

Solving the quadratic equations, we get. Q1 v Find the roots of the following quadratic equations by factorization:. Q2 Solve the problems given in Example 1.

From Example 1 we get:. Solving by factorization method:. Therefore, John and Jivanti have 36 and 9 marbles respectively in the beginning. Therefore, the number of toys on that day was. Q3 Find two numbers whose sum is 27 and the product is Let two numbers be x and y. Then, their sum will be equal to 27 and the product equals From equation 2 we have:. Then putting the value of y in equation 1 , we get.

Solving this equation:. Hence, the two required numbers are. Q4 Find two consecutive positive integers, the sum of whose squares is Let the two consecutive integers be. Then the sum of the squares is Hence, the two consecutive integers are. Q5 The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides. Let the length of the base of the triangle be. Then, the altitude length will be:.

Given if hypotenuse is. Applying the Pythagoras theorem; we get. But, the length of the base cannot be negative. Hence the base length will be. Therefore, we have. Altitude length and Base length. Q6 A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article in rupees was 3 more than twice the number of articles produced on that day.

If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article. Let the number of articles produced in a day. The 10th Ncert Quadratic Equation Number cost of production of each article will be. Given the total production on that day was. Hence we have the equation;. But, x cannot be negative as it is the number of articles. Therefore, and the cost of each article. Hence, the number of articles is 6 and the cost of each article is Rs.

Q1 i Find the roots of the following quadratic equations, if they exist, by the method of completing the square.

Given equation:.


Today:

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