1) The points (7, 2) and (- 1,0) lie on a line a) 7y=3x-7 b) x=4y+1 c) y=7x+7 d) 4y=x+1 2) If in the equation x + 2y = 10, the value of y is 6, then the value of x will be a) -2 b) 4 c) 2 d) 5 3) The pair of equations 5x-15y=8 and 3x-9y=24/5 has a) one solution b) infinitely many solutions c) two solution d) no solution 4) The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is a) 25 b) 63 c) 72 d) 36 5) The pair of equations x = a and y = b graphically represents lines which are a) parallel b) intersecting at (b, a) c) intersecting at (a, b) d) coincident 6) The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages of the son and the father are, respectively a) 4 and 24 b) 5 and 30 c) 6 and 36 d) 3 and 24 7) The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has infinitely many solutions is a) 2 b) 15 c) 22 d) 8 8) Assertion : If the system of equations 2x+3y=7 and 2ax+(a+b)y=28 has infinitely many solutions, then 2a-b=0. And Reason : The system of equations 3x-5y=9 and 6x-10y=8 has a unique solution. a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).  c) Assertion (A) is true but reason (R) is false. d) Assertion (A) is false but reason (R) is true. 9) If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case,the pair of equations is  a) consistent b) linear c) inconsistent d) zero 10) A pair of intersecting lines representing a pair of linear equations in two variables has a unique solution. a) True b) False

Pair of Linear equation in two variables quiz class10

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