Represent the following situations in the form of quadratic equations. If you liked the video, please so that you can get more such interesting and useful study resources. To solve two simultaneous equations in two variables, we draw their graphs on the same graph paper. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the fixed charge and the charge for each extra day. Answer Let the shorter side of the rectangle be x m. Find her speed of rowing in still water and the speed of the current.
Is the following situation possible? A train travels 360 km at a uniform speed. Hence, the given equation is quadratic equation. She takes 4 hours if she travels 60 km by train and the remaining by bus. Detailed answers of all the questions in Chapter 3 Maths Class 10 Pair of Linear Equations in Two Variables Exercise 3. Solution: Let the cost price of the saree be Rs. Answer Let length and breadth of rectangle be x unit and y unit respectively.
Therefore, they will not intersect each other and thus, there will not be any solution for these equations. Hence, the pair of linear equations is consistent. A railway half ticket cost half the full fare but the reservation charges are the same on a half ticket as on a full ticket. Represent the situation algebraically and geometrically. If you have any questions, feel free to post it in the comment box below and we will get back to you at the earliest. If, 3 is added to both the numerator and the denominator it becomes 5 6. If, the longer side is 30 metres more than the shorter side, find the sides of the field.
Class 10 Maths Chapter 4 Exercise 4. When 18 is added to the number, the digits interchanged their places. Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. Find how man notes of Rs. If 8 is subtracted from each of the numbers, they become in the ratio of 4:5.
How many questions were there in the test? The topics discussed in the chapter are mentioned below: 3. Answer Let the larger and smaller number be x and y respectively. Hence, the given equation is quadratic equation. The diagonal of a rectangular field is 60 metres more than the shorter side. Find two numbers whose sum is 27 and product is 182. How old are Nuri and Sonu? Form the pair of linear equations in the following problems, and find their solutions if they exist by the elimination method: i If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Answer Let the marks in Maths be x. The chapter covers examples, graphical representations, and exercises that will help the students to master the topic. The solution of such equations is a pair of values for x and y which makes both sides of the equation equal. Video — will be available soon. Clearly, the two lines intersect at A 2, —3. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. Find the speeds of the two cars.
Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. She asked the cashier togive her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. What are their present ages? From the figure, it can be observed that these lines are intersecting each other at point 2, 3 and x-axis at -1, O and 4, O. Find the speed of the train. Find the speeds of the train and the bus.
Write in the comment section for any error or any solution related queries from the exercise. Also, nine times this number is twice the number obtained by reversing the order of the digits. Hence, the pair of linear equations is consistent. If 3 is added to both the numerator and the denominator, it becomes. Otherwise you can also buy it easily online. What are their present ages? After you have studied lesson, you must be looking for answers of its questions.