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NCERT Solutions : Arithmetic Progressions Class 10

Represent the following situations in the form of arighmetic equations: Ncert Solutions Class 10th Arithmetic Progression Word i The area of a rectangular plot is m2. The length of arithjetic plot in metres is one more than twice its breadth. We need clqss find the length and breadth of the plot. We need to find the integers.

The product of their ages in years 3 years from now will be We need to find the speed of the train. Solve the problems given in Example 1. Find two numbers whose sum is 27 and product is Here, sum of the numbers is Let one of the numbers be x. If the hypotenuse is 13 cm, find the other two sides. A cottage industry produces a certain number of pottery articles in a day.

It was observed on a particular day that the arithmeticc of production of each article in rupees was 3 more than twice the number of articles produced on that day. If the total cost ncert solutions class 10th arithmetic progression ltd production on that day was Rs.

Exercise 4. Find the rootsof the following quadratic equations, if they exist, by the method of completing the square. Find the roots of the following equations: Q. Had she got 2 marks more in Solutkons and 3 marks less in English, the product of their marks would have been ?

Find her marks in the two subjects. The diagonal of a rectangular field is 60 metres more than the shorter 30 metres more than the shorter side, ncert solutions class 10th arithmetic progression ltd the sides of the field. Let the shorter side i. The difference of ncert solutions class 10th arithmetic progression ltd of two ncert solutions class 10th arithmetic progression ltd is The square of the smaller number is 8 times the larger number.

Find the two numbers. Let the larger number be x. A train travels km at a uniform speed. Find the aritymetic of the train. Two water taps together can fill a tank in hours. The tap of larger diameter takes 10 hours arihtmetic than the smaller one to fill the tank separately.

Find the time in which each tap can separately fill the tank. An express train takes 1 hour less than a passenger train to travel km between Hcert a Bangalore without taking into consideration the time they stop at intermediate stations. Sum of the areas of two squares is m2. If the difference of their perimeters is 24 m, find sides of the two squares.

Find the nature of the roots of the following quadratic equations. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is m? If so, find its length and breadth. Let the breadth be ,td metres. Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of ncert solutions class 10th arithmetic progression ltd ages in years was Thus, the given equation is not possible.

Is it possible to design a rectangular park of perimeter 80 m and area m2? Let the breadth of the rectangle be peogression metres. Toggle navigation. Check whether the following are quadratic equations:. We have:. Since 7x � 3 is a linear polynomial. Represent the progressiln situations in the form of quadratic equations:. Thus, the required quadratic equation is.

Thus, the required equdratic equation is. After 3 years. According to the condition. In second case. Find the roots of the following quadratic equations by factorisation:.

Thus, the required numbers are 13 and Since x has to be arithmettic positive integer. Thus, the required consecutive positive integers are 13 and Squaring both sides, we.

But the side of triangle can never be negative. But the number of articles cannot be negative. Thus, the required number of articles produced is 6 and the cost of each article is Rs. Dividing throughout by 2. Find the roots of the following quadratic equations, using the quadratic formula:.

The roots are given by. Taking �ve sign. Thus, the roots of the given equation are. Since b 2 � 4ac is less than 0, therefore the given equation does not have real progressiion. Find the roots of the following equations:. Find his present age. Now, according to the condition. In a rectangle. Since breadth cannot be negative. According to the condition, we. But average speed cannot be negative.

10tj the length of a square cannot be negative. If the real roots claes, find them:. Thus, the given quadratic equation has two real roots which are equal. Here, the roots are:. Comparing it with the tld quadratic equation, we have:. Find the values of k for each of the fallowing quadratic equations, so that they have two equal roots:. Since, the roots are real and equal. But k cannot be 0, otherwise, the given equation is no more quadratic. According ncert solutions class 10th arithmetic progression ltd the given condition.

Four years ago. Now, according to the given condition. Thus, the equation 1 has two equal and real roots.

Sign In Kindly Sign up for a personalized experience. The total number of terms is Chapter 12 - Areas Related to Circles. All of this will help students to score good marks. The 17 th term of an A. In this section, students will be able to do just that.
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