These solutions showcase how a quadratic equation can be used to express certain problems and how we can use the given information to solve for unknown variables. Summarizing points given at the end help the students to revise and glance through the concepts learnt in the chapter. Hence, the given equation is a quadratic equation. It is not of the form. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article. We need to find the integers.
If so find its length and breadth. Find the speed of the stream. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. It is given that their product is 306. It is of the form. Find speed of the stream. However, if they are operated separately, tap with larger diameter can fill the tank 4 hours early as compared to the tap with smaller diameter.
The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the length of its base and altitude. Let x be number of chocolates produced and y be the cost of each chocolate. However, length cannot be negative. The length meters of the park is three more than twice its breadth meters. Find the time in which each tap can separately fill the tank. If the hypotenuse is 15cm.
Q4 : Find two consecutive positive integers, sum of whose squares is 365. Represent the following situations in the form of quadratic equations : i The area of a rectangular plot is 528 m2. Five years hence, his age will be x + 5 years. Is it possible to design a rectangular park of perimeter 80 m and area 400 m 2? If so, find its length and breadth. Four years ago, the product of their ages in years was 48.
Students must try to get appropriate solutions to all these questions as it will help to get a thorough understanding of each topic and gain confidence to solve other related problems in the examinations. Q5 : The altitude of a right triangle is 7 cm less than its base. We need to find the length and breadth of the plot. And hence, this situation is possible. 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. Page No: 87 Exercise 4. Detailed answers of all the questions in Chapter 4 Maths Class 10 Quadratic Equations Exercise 4.
If the difference of their perimeters is 16 cm, find the sides of two squares. Hence, the length of the plot is 2 x + 1 m. Answer : Let the marks in Maths be x. Let x be length of the park and y be breadth of the park in meters. Answer Let the time taken by the smaller pipe to fill the tank be x hr.
If the hypotenuse is 13 cm, find the other two sides. Hence, the given equation is not a quadratic equation. Answer : Let the sides of the two squares be x m and y m. Then, the marks in English will be 30 — x. We need to find the speed of the train. If so, determine their present ages.
We need to find the length and breadth of the plot. Click here to to to get all exercises. Hence, the given equation is not a quadratic equation. The length of the plot in metres is one more than twice its breadth. Q2 : Represent the following situations in the form of quadratic equations. Is it possible to design a rectangular park of perimeter 80 and area 400 m2? Four years ago, the product of their ages in years was 48.
Find the speed of the train. With a revision of concepts learned in Grade 9, this chapter deals with further complex topics. Practice is the only key to grasp the Mathematics fundamentals and achieve good results. We need to find the integers. Find out how many marbles they had to start with. Video Solution Answer: Let the base of the right triangle be x cm. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately.