1) 3x-y=3, 9x-3y=9 has infinite solution a) True b) False c) Cannot say d) Partially true 2) If a pair of linear equations is consistent, then lines will be a) parallel b) always coincident c) intersection or coincident d) always intersection 3) For what value of k will the following pair of linear equations have infinitely many solutions? 2x+3y=4 and (k+2)x+6y=3k+2 a) 1 b) 2 c) 3 d) 4 4) Solve the following system of linear equations and find the value of x and y ax+by-a+b=0 and bx-ay-a-b=0 a) 1,-1 b) 1,0 c) -1,1 d) 0,2 5) The difference between two number is 26 and one of the number is three times the other number. The numbers are a) 39 and 26 b) 39 and 13 c) 39 and 41 d) None of these 6) Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4:5 then the numbers are a) 48,20 b) 40,28 c) 40,48 d) 20,24 7) A fraction becomes 4/5 when 1 is added to each of the numerator and denominator. However if we subtract 5 from each of them it becomes 1/2 then numerator of fraction is a) 6 b) 7 c) 8 d) 9 8) Aruna has only rupees 1 and 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is rupees 75 then the number of rupees 1 and 2 coins is a) 24,24 b) 26,26 c) 25,25 d) None of these 9) A boatman rows his boat 35km upstream and 55km downstream in 12h. He can row 30km upstream And 44km downstream in 10h.Find the speed of boat in still water. a) 8km/h b) 3km/h c) 5km/h d) 11km/h 10) If x=a and y=b is the solution of the equation x-y=2 and x+y=4 then the values of a and b are 3 and 2 a) True b) False c) Cannot say d) Partially true / false 11) The value of x and y of the following pair of equations is 2/x+3/y=13 ; 5/x-4/y=-2 a) x=2,y=3 b) x=1/3,y=1/2 c) x=1/2,y=1/3 d) x=3,y=2

Linear Equations In Two Variable

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