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

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## 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 – 3y = 12

(i) The pivot point (point of intersection) of the blades represented by the linear equation x + 3y = 6 and 2x – 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 – 3y = 12 intersect y – axis respectively are
(a) (0, 2) and (0, 6)
(b) (0, 2) and (6, 0)
(c) (0, 2) and (0, –4)
(d) (2, 0) and (0, –4)

(iii) The number of solution of the system of linear equations x + 2y – 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) –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