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
You may also like:
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Triangles
Chapter 7 Coordinate Geometry
Chapter 8 Introduction to Trigonometry
Chapter 9 Some Applications of Trigonometry
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Areas Related to Circles
Chapter 13 Surface Areas and Volumes
Chapter 14 Statistics
Chapter 15 Probability
