# Case Study Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Home Â» CBSE Class 10 Maths Â» Case Study Questions for Class 10 Maths Â» Case Study Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

## Case Study Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Case Study Questions

Question 1:

The scissors which is so common in our daily life use, its blades represent the graph of linear equations.

Let the blades of a scissor are represented by the system of linear equations:

x + 3y = 6 and 2x â€“ 3y = 12

(i) The pivot point (point of intersection) of the blades represented by the linear equation x + 3y = 6 and 2x â€“ 3y = 12 of the scissor is
(a) (2, 3)
(b) (6, 0)
(c) (3, 2)
(d) (2, 6)

(ii) The points at which linear equations x + 3y = 6 and 2x â€“ 3y = 12 intersect y â€“ axis respectively are
(a) (0, 2) and (0, 6)
(b) (0, 2) and (6, 0)
(c) (0, 2) and (0, â€“4)
(d) (2, 0) and (0, â€“4)

(iii) The number of solution of the system of linear equations x + 2y â€“ 8 = 0 and 2x + 4y = 16 is
(a) 0
(b) 1
(c) 2
(d) infinitely many

(iv) If (1, 2) is the solution of linear equations ax + y = 3 and 2x + by = 12, then values of a and b are respectively
(a) 1, 5
(b) 2, 3
(c) â€“1, 5
(d) 3, 5

(v) 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