Time: 1 hour
M.M. 30
Attempt all questions.
Q1: Which of the following options represents a pair of linear equations in two variables? (1 Mark)
(a) 2x + 3y = 7
(b) x^{2} + y^{2} = 25
(c) 4x + 2y = 10
(d) 3x + 2y^{2} = 8
Ans: (a)
Q2: The number of solutions for a pair of linear equations in two variables can be: (1 Mark)
(a) One
(b) Two
(c) Three
(d) None
Q3: If two lines represented by a pair of linear equations are parallel, then: (1 Mark)
(a) They intersect at one point
(b) They do not intersect
(c) They intersect at two points
(d) None of the above
Q4: Solve the pair of equations: 2x  3y = 7 and 4x  6y = 14. (1 Mark)
Q5: Check the consistency of the pair of linear equations and solve them graphically: (1 Mark)
4x  3y = 9
8x  6y = 18
Q6: Solve the pair of linear equations: (2 Marks)
x  y = 4
2x + 3y = 10
Q7: Find the value of 'k' for which the following system of equations has no solution: (2 Marks)
2x + 3y = 5
4x + ky = 10
Q8: A sum of money amounts to Rs. 11,000 after 3 years and Rs. 13,750 after 5 years, when it is invested at a certain rate of simple interest. Calculate the rate of interest using a pair of linear equations in two variables. (2 Marks)
Q9: The sum of the digits of a twodigit number is 9. If we add 9 to the number, the digits get reversed. Find the number using a pair of linear equations in two variables. (3 Marks)
Q10: Solve the following system of equations using any appropriate method: (3 Marks)
3x  2y = 8
6x  4y = 16
Q11: Solve the pair of linear equations: (3 Marks)
2x + y = 7
x  3y = 4
Q12: The perimeter of a rectangle is 46 meters. The length is 4 meters more than twice the width. Find the dimensions of the rectangle using a pair of linear equations. (5 Marks)
Q13: A twodigit number is 6 times the sum of its digits. If 9 is added to the number, the digits interchange their places. Find the number using a pair of linear equations. (5 Marks)
116 videos420 docs77 tests


Explore Courses for Class 10 exam
