**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

## Answer

Answer:(i) b

(ii) c

(iii) d

(iv) a

(v) d