Page 1 : PAIR OF LINEAR EQUATIONS IN TWO VARIABLES, , 1) The pair of equations 3x-Sy=7 and -6x+10y=7 have., , (a unique solution , infinitely many solutions, no solution , two solutions), 2) If x=7 and y=3 is the solution of equations ax + by =18 and bx+ay=12, , then at bis (-7,-3,3,7), 3) The solution of 217x +131y=913 and 131x+217y=827 is, , (x=2,y=3_ ; x=2,y=-2 ;x=3,y=2; x=3 ,y=3), 4) The number of solutions for two equations representing parallel lines is/are, ( 2,0, 1, infinite), , 5) Ifx=a, y=b is the solution of equations x+ y=5 and 2x-3y=4 , then the values of a, , and b are respectively (6-1 ; 2,3 ; 1,4 ;19/5,6/5 ), 6) The value of k for which the system of equations x +(k+1) y=5 and (k+1) x+9y=8k-1, has infinitely many solution is (-8,14,8,20), , 7) If a pair of linear equation is consistent , then the lines willbe ____, ( intersecting or coincident , always coincident , always intersecting , parallel), 8) The solution of x-y=-2 and x+y =4is_, (x=-3 ,y=1_ ; x=1,y=3 5 x=3,y=1_ ;_ x=3 ,y=-1), 9) The value of x in the equation 2x-8y=12 is 2, then the corresponding value of, y=___—(-1,1,0,6), 10) If 6x+3y=c-3 and 12x+cy=c has infinitely many solutions , then c=___, (5,4,3,6), 11) The graph of y=2 isa line paralleltothe, (x-axis , y-axis , both x and y axis , none of the above, 12) If 2x+3y=7 and 2ax+(a+b)y=28 has infinitely many solutions then ___, (a=2b ,b=2a ,a+2b=0 , 2a+b=0 ), 13) The value of k for which the system of equations 2x+3y=5 and 4x+ky=10, has infinite number of solutions is__(1, 3,6 ,0), 14)The value of k for if kx-2y=2 , 6x-2y=3 has unique solutionis_—, (=3 , #3,=0, #0), 15) If a system of pair of linear equations in two unknowns is consistent , then the, The lines representing the system will be., ( Parallel lines, always inconsistent , always intersecting , intersecting or coincident), 16) The pair of equations x -O and y=O has, (one solution , two solutions , infinitely many solutions , no solution), 17) If x=a, y=b is the solution of the equation x-y=2 and x+y=4 , then the values, of a and b are respectively, (3and5,5and3,3and1,-1and -3), 18) If 3x+2y=13 and 3x-2y=5 , then the value of xis__( 5,7,3,11), 19) If (6,k) is a solution of the equation 3x+y-22=0 ,then the value of kis __, (-4,4,3,-3), , 20)The solution of 13x+7y=27 and 7x-13y=-19 is x=1 and y= ( -2,2, 7, 14)