Ncert-Maths-Linear Equations in Two Variables SetA Welcome to your Ncert-Maths-Linear Equations in Two Variables SetA 1. 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 185 158 175 518 None 2. ax+by=c and mx+ny=d where an ≠bm then these simultaneous equation have Only one common solution No solution Infinite number of solution Only two solutions. None 3. the pair of equations x=a and y=b graphically represents line which are coincident Parallel intersecting at (a,b) intersecting at (b,a) None 4. 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? 18 and 11 17 and 24 18 and 27 18 and 24 None 5. Solve each pair of equation by using the substitution method.0.2x+0.3y=1.30.4x+0.5y=2.3 x=−3 and y=−2 x=3 and y=2 None of these x=2 and y=2 None 6. Express the given information in mathematical form using two variables:One number is 5 more than seven times the other number. 7x−y=8 Insufficient data x−7y=5 x+5y=7 None 7. 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 ? 7 2 9 16 None 8. The solutions of the pair of equations x− y =0,x + y=0 x=3,y=5 x=0,y=0 x=5,y=5 x=3,y=2 None 9. 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 10. Draw the graph of each of the following liner equations in two variables y = 3x X+y=4 x - y = 2 3 = 2x +y None 11. Which equation represents the line that passes through the point (−1,4) and is parallel to the y-axis? x=4 y=4 y=−1 x=−1 None 12. 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 11 rabbits and 19 parrots 10 parrots and 20 rabbits 9 parrots 21 rabbits 20 parrots and 19 rabbits None 13. Which equation represents the line that passes through the point (2,3) and is parallel to the y-axis? x=2 y=2 x=3 y=3 None 14. 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. 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 x+y=679, where x= runs scored by india and y= runs scored by sri lanka 2x+y=679, where x= runs scored by india and y= runs scored by sri lanka None 15. 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 −10x+14y+4=0 10x+14y+4=0 None 16. 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 10 5 9 6 None 17. 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 5 and 3 3 and 5 -3 and -1 3 and 1 None 18. 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 7 3 None 19. Which equation represents the line that passes through the point (−2,3) and is parallel to the x-axis? y=0 y=3 x=0 x=3 None 20. If point ( 4,2 ) lies on the graph of the equation 5x + aY =28 then a=? 4 20 8 2 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.
