Ncert-Maths-Linear Equations in Two Variables SetA Welcome to your Ncert-Maths-Linear Equations in Two Variables SetA 1. At a zoo, there were parrots and rabbits in the same enclouser. Sravanthi counted 30 heads and 100 legs altogether. how many animals of each type were in the enclouser 20 parrots and 19 rabbits 9 parrots 21 rabbits 11 rabbits and 19 parrots 10 parrots and 20 rabbits None 2. The solutions of the pair of equations x− y =0,x + y=0 x=5,y=5 x=3,y=5 x=3,y=2 x=0,y=0 None 3. Draw the graph of each of the following liner equations in two variables y = 3x 3 = 2x +y x - y = 2 X+y=4 None 4. Solve each pair of equation by using the substitution method.0.2x+0.3y=1.30.4x+0.5y=2.3 None of these x=2 and y=2 x=−3 and y=−2 x=3 and y=2 None 5. Which equation represents the line that passes through the point (−1,4) and is parallel to the y-axis? y=4 y=−1 x=4 x=−1 None 6. One equation of a pair of dependent linear equation is −5x+7y=2 the second equation can be −10x+14y+4=0 −10x−14y+4=0 10x+14y+4=0 10x−14y=−4 None 7. Which equation represents the line that passes through the point (−2,3) and is parallel to the x-axis? x=0 y=3 y=0 x=3 None 8. Which equation represents the line that passes through the point (2,3) and is parallel to the y-axis? y=3 x=2 y=2 x=3 None 9. Classes A and B have 35 students each. If seven girls shift from class A to class B, then the number of girls in the classes would interchange. If four girls shift from class B to class A, then the number of girls in class A would be twice the original number of girls in class B. What is the number of boys in Class A and in Class B? 17 and 24 18 and 27 18 and 24 18 and 11 None 10. If x=a,y=b is the solution of the equations x−y=2 and x+y=4 then the value of a and b are respectively -3 and -1 3 and 5 5 and 3 3 and 1 None 11. Express the given information in mathematical form using two variables:One number is 5 more than seven times the other number. x−7y=5 x+5y=7 7x−y=8 Insufficient data None 12. Consider the equation:y+7x=3x−2y+28If the equation is written in the form of ax+by=c, then what is the value of a? 4 1 3 7 None 13. Sum of two numbers is 407407. The sum and difference of their LCM and HCF are 925 and 851 respectively. The difference of two numbers is 158 175 185 518 None 14. ax+by=c and mx+ny=d where an ≠bm then these simultaneous equation have Only two solutions. Only one common solution Infinite number of solution No solution None 15. Choose the correct alternative answers for the following questions. If 3x+5y=9 and 5x+3y=7 then What is the value of x+y ? 2 7 9 16 None 16. Write a linear equation in two variables to represent the following statement.In a one-day International cricket match between India and Sri Lanka, the two teams together scored 679 runs. 2x+y=679, where x= runs scored by india and y= runs scored by sri lanka x+y=679, where x= runs scored by india and y= runs scored by sri lanka x+2y=679, where x= runs scored by india and y= runs scored by sri lanka x-y=679, where x= runs scored by india and y= runs scored by sri lanka None 17. The liquids X and Y are mixed in the ratio of 3:2 and the mixture is sold at Rs11 per liter at a profit of 10%. If the liquid X costs Rs2 more per liter than Y, the cost of X per liter is (in Rs.): 9:50 11 10:80 None 18. the pair of equations x=a and y=b graphically represents line which are Parallel intersecting at (a,b) coincident intersecting at (b,a) None 19. If point ( 4,2 ) lies on the graph of the equation 5x + aY =28 then a=? 20 8 4 2 None 20. The system of linear equations 5x+my=10 and 4x+ny=8 have infinitely many solutions, where m and n are positive integers. Then the minimum possible value of (m+n) is equal to 9 6 10 5 None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
