1) If the system of equations 2x + 3y = 7 & (a+b)x + (2a-b)y = 21 has infinitely many solutions, then a) a=1, b=5 b) a= -1, b=5 c) a=5, b=1 d) a=5, b= -1 2) The value of k for which the system of equations:- kx - y = 2 & 6x - 2y = 3 has a unique solution, is a) =3 b) ≠3 c) ≠0 d) =0 3) If the system of equations 2x + 3y = 7 & 2ax + (a+b)y = 28 has infinitely many solutions, then a) b= 2a b) a= 2b c) 2a+b=0 d) a+2b=0 4) If a pair of linear equations in two variables is consistent, then the lines represented by two equations are a) intersecting b) parallel c) always coincident d) intersecting or coincident 5) The area of the triangle formed by the lines y = x, x = 6 and y = 0 is a) 36 sq. units b) 9 sq. units c) 18 sq. units d) 72 sq. units 6) The pair of linear equations can be solved Graphically which has a) coinciding lines b) intersecting lines c) parallel lines d) both a and b 7) What does it represent if the pair of lines intersect at a point? a) inconsistent & have no solution b) consistent & have infinitely many solutions c) inconsistent & have unique solution d) consistent & have unique solution 8) The pair of equations x=a and y=b graphically represents lines which are a) parallel b) intersecting at (a, b) c) coinciding d) intersecting at (b, a) 9) What do you say about the solution of the pair of linear equations y = 0 and y =- 5? a) infinitely many solution b) unique solution c) no solution d) can't say 10) Sum of the ages of a father and the son is 40 years. If father’s age is three times that of his son, then what is father age ? a) 30 years b) 24 years c) 45 years d) 36 years

Ch- Linear Equations In Two Variables

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