MCQ Questions | Class 9 Maths Chapter 4 | Linear Equations for Two Variables with Answers

MCQ | Linear Equations for Two Variables Class 9

Check the below NCERT MCQ Questions for Class 9 Maths Chapter 4 Linear Equations for Two Variables with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have Provided Linear Equations for Two Variables Class 9 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 9

NCERT Solutions Class 9 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	9th
Subject:	Maths
Chapter:	4 Part-2
Chapters Name:	Linear Equations for Two Variables
Medium:	English

Ncert Solutions for Class 9 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations for Two Variables to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Linear Equations for Two Variables | Class 9 Maths | NCERT Solutions

Q1.	class 9 ncert maths Linear Equations for Two Variables pdf The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
	A. (0, 3)
	B. (3, 0)
	C. (2, 0)
	D. (0, 2)

Ans: (3, 0)

Q2.	class 9 ncert maths solutions Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points.
	A. (\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))
	B. (0, \(\frac{-c}{b}\), 0), (\(\frac{-c}{a}\), 0)
	C. (-c, 0) (0, -c)
	D. (x, 0) (y, 0)

Ans: (\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))

Q3.	class 9 ncert maths solutions chapter 4 If the line represented by the equation 3x + ay = 8 passes through the points (2,2), then the value of a is
	A. 0
	B. 4
	C. 3
	D. 1

Ans: 1

Q4.	mcq for class 9 maths chapter 4 If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b
	A. 2,1
	B. 3,1
	C. 4,6
	D. 1,2

Ans: 3,1

Q5.	mcq for class 9 maths Linear Equations for Two Variables The solution of the equation x + y = 3, 3x – 2y = 4 is :
	A. x = 2, y = 1
	B. x = 1, y = 2
	C. x = –2, y = 1
	D. x = –2, y = –1

Ans: x = 2, y = 1

Q6.	mcq questions for class 9 maths chapter 4 The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is
	A. 7
	B. -7
	C. 6
	D. 5

Ans: 7

Q7.	mcq questions for class 9 maths ncert chapter 4 If x and y are both positive solutions of equation ax+by+c=0, always lie in:
	A. First quadrant
	B. Second quadrant
	C. Third quadrant
	D. Fourth quadrant

Ans: First quadrant

Q8.	mcq questions for class 9 maths Linear Equations for Two Variables with answers The linear equation 4x – 10y = 14 has:
	A. A unique solution
	B. Two solutions
	C. Infinitely many solutions
	D. No solutions

Ans: Infinitely many solutions

Q9.	mcq questions for class 9 maths Linear Equations for Two Variables with answers pdf Which of the following ordered pairs is a solution of the equation x – 2y – 6?
	A. (2, 4)
	B. (0, 3)
	C. (-4, 1)
	D. (4, -1)

Ans: (4, -1)

Q10.	mcq questions for class 9 maths with answers pdf How many linear equation in x and y can be satisfied by x = 1 and y = 2?
	A. only one
	B. two
	C. infinitely many
	D. three

Ans: infinitely many

Q11.	ncert maths class 9 chapter 4 Solution of linear equation 2x + 0.y + 9 = 0 is
	A. (\(\frac{9}{2}\), m)
	B. (n, \(\frac{-9}{2}\))
	C. (0, \(\frac{-9}{2}\))
	D. (\(\frac{-9}{2}\), 0)

Ans: (\(\frac{-9}{2}\), 0)

Q12.	ncert maths class 9 chapter 4 exercise If (3, 2) is the solution 3x – ky = 5, then k equals of the equation
	A. 2
	B. 4
	C. 3
	D. \(\frac{1}{2}\)

Ans: 2

Q13.	ncert maths class 9 chapter 4 examples Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
	A. x – 2y – 10 = 0
	B. 2x – y – 10 = 0
	C. 2x + y – 10 = 0
	D. x – 2y + 10 = 0

Ans: x – 2y – 10 = 0

Q14.	ncert maths class 9 exercise in english If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is
	A. 6x + y = 5
	B. x = 6y + 5
	C. x + 6y = 5
	D. x – 6 = 5

Ans: x = 6y + 5

Q15.	ncert maths class 9 pdf Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
	A. x – 2y – 10 = 0
	B. 2x – y – 10 = 0
	C. 2x + y – 10 = 0
	D. x – 2y + 10 = 0

Ans: x – 2y – 10 = 0

Q16.	ncert maths class 9 solutions The graph of x = 3 is a line:
	A. Parallel to x-axis at a distance of 3 units from the origin
	B. Parallel to y-axis at a distance of 3 units from the origin
	C. Makes an intercept 3 on x-axis
	D. Makes an intercept 3 on y-axis

Ans: Parallel to y-axis at a distance of 3 units from the origin

Q17.	ncert maths class 9 textbook Equation of a line passing through origin is
	A. x + y = 1
	B. x = 2y – 4
	C. x + y = 0
	D. y = x – 1

Ans: x + y = 0

Q18.	ncert maths class 9 textbook pdf download The condition that the equation ax + by + c = 0 represents a linear equation in two variables is
	A. a ? 0, b = 0
	B. b ? 0, a = 0
	C. a = 0, b = 0
	D. a ? 0, b ? 0

Ans: a ? 0, b ? 0

Q19.	cbse maths class 9 book The maximum number of points that lie on the graph of a linear equation in two variables is.
	A. two
	B. definite
	C. infinitely many
	D. three

Ans: infinitely many

Q20.	cbse maths class 9 chapter 4 Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation
	A. y – x
	B. x + y = 0
	C. y = 2x
	D. 2 + 3y = 7x