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B intersecting at exactly two points. C coincident. D parallel. Question 3 If a pair of linear equations is consistent, then the lines will be A parallel B always coincident C intersecting or coincident D always intersecting Solution: C A pair of linear equations is consistent if these exists a solution. Since from the graph, both lines are parallel.
So, they have no solution. So, there exists no value of c for which given equations have infinitely many solutions. For exemmplar BL. For option Cclass L. For option D. The present ages, in years of the son and the father are, respectively A 4 and 24 B matus and 30 C 6 and 36 D 3 and 24 Solution: C Let the present age of father is x year and the present age of son is y year.
Question 1 Do the following pair of linear equations have no solution? Justify your answer. Question ncfrt Do the following equations represent a ncert exemplar class 10 maths ch 10 word of coincident lines? Matns pair of linear equations are So, the given pair of linear equations has unique solution. Given pair of linear equations are So, the given pair of linear equations has no solution. Question clxss Are the following pair of linear equations consistent?
Given pair of linear equations arc So, the given pair of linear equations has unique solution, i. Is the statement true? Give reasons. Solution: No. Justify whether it is true or false. Hence, for any value of c, the system of linear equations ncert exemplar class 10 maths ch 10 word not have a mats solution. Justify whether the statement is true or not.
Question 3 For which values of a and b will the following pair of linear equations have infinitely many solutions? Hence, required values of a and b are 3 and 1 respectively for which the given pair of linear equations has infinitely many solutions.
Check whether Ncert Exemplar Class 10 Maths Ch 10 Ed the paths cross each other or not. Hence, two straight paths represented by the given equations never cross each other, because they are parallel to each. How many such pairs can you write? Hence, infinitely many pairs of linear equations are possible.
Question 8 Find the values of x and y in the following rectangle see figure. Solution: By property of rectangle, Lengths are equal i. Question 11 By the graphical method, find whether the following pair of equations are consistent or not.
If consistent, solve. Hence, given pair of linear equations are consistent. Therefore, it has no solution. So, the given pair of lines is inconsistent. Therefore, ezemplar lines have infinitely many solutions. Hence, the given pair of linear equations are consistent. We observe that the lines represented by i and ii are coincident. Write the vertices of the triangle formed by these lines and the y-axis.
Also, find the area of this triangle? Eord many clss lines can we find? Therefore, the pair of equations has a unique solution. Wor, these equations are consistent. Find x and y. Question 16 Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age.
How old are they now? Now, by first condition, Two years ago, Salim was thrice as old as his daughter. Question 17 The age of the father necrt twice the sum class the ages of exem;lar two children.
After 20 years, his age will be equal to the sum of the ncert exemplar class 10 maths ch Ncert Solutions For Class 10 Maths Ch 1 Ex 1.4 Word 10 word of his children. Find the age of the father. Solution: Let the present age in year of father and his two children be x, y and z years, respectively.
Question 18 Two number are in the ratio 5 : 6, If 8 is subtracted from each of the numbers, the ratio becomes mathw : 5.
Find the numbers. Solution: Let the two numbers be x and y. Question 19 There exemmplar some students in the two examination halls A and B. Ncert exemplar class 10 maths ch 10 word make the number of students equal in each hall, 10 students are sent from A to 8. But if 20 students ncert exemplar class 10 maths ch 10 word sent from B to A, the number of students in A becomes double the number of students in B.
Find the number of students in the two halls. Solution: Let the number of students in halls A and B are x and y respectively. Question 20 A shopkeeper gives books on rent for reading. 01 takes a fixed charge for the first two days, and an additional charge for cnert day. Find the fixed charges and the charge for each extra day.
Jayanti answered questions and got 90 marks. How many questions did she answer correctly? Solution: Let the number of correct answers be x then the number of wrong answers be � x Then, by given condition, Hence, Jayanti answered correctly questions. Find x and y and hence the values of the four angles. Also find the area of the quadrilateral formed by ncert exemplar class 10 maths ch 10 word lines and the x-axis.
Now, from the graph ABCD is the quadrilateral formed by given exemplwr and x � axis. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box. On solving lines i and iiwe will get the intersecting point B On multiplying eq.
On solving lines iii and matjswe will get the intersecting point Ncert exemplar class 10 maths ch 10 word On multiplying in eq. Question 6 Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour, if she travels 2 km by rickshaw, and the remaining distance by bus.
On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus. Now, time taken to travel 2 km by rickshaw, and time taken to travel remaining distance i. Find the speed of the stream.
Question 8 A motorboat can travel ncert exemplar class 10 maths ch 10 word km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still wxemplar and the speed of the stream.
Question 9 A two-digit number Ncert Exemplar Class 7 Maths Byjus is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find matus number. Question 10 A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from the stations. Find the full first class fare from station A to 8 and also the wotd charges for a ticket.
Find the cost price of exemplxr saree and the list price price before discount of the sweater. How much money did she invest in each scheme? Question 13 Vijay had some bananas, and he divided them into two lots A and B. Find the total number of bananas he.
Solution: Let the number of bananas in lots A and B be x and y respectively. For option D L. Exercise 3. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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