Mathematics Questions and Answers – Equations of Lines Parallel to x-axis and y-axis

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This set of Mathematics Question Bank for Class 9 focuses on “Equations of Lines Parallel to x-axis and y-axis”.

1. Which of the following line satisfies the equation x=2?
a)
b)
c)
d)
View Answer

Answer: b
Explanation: Line x=2 means value of x-coordinate is 2 throughout the line and it doesn’t change. Line shown in diagram satisfies this condition since the value of x-coordinate doesn’t change on that line.
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2. Line of the equation y=a (a is constant) is __________
a) Parallel to X – axis
b) Parallel to Y – axis
c) Makes an angle of 45 degree with X – axis
d) Makes an angle of 45 degree with Y – axis
View Answer

Answer: a
Explanation: y=a where a is constant shows that shape of this line is independent of value of X. It means that value of Y will be same throughout the line. This line is shown below.

3. Number of solutions of the equation x-4=0 are?
a) Infinite
b) Three
c) Two
d) One
View Answer

Answer: d
Explanation: Since the given equation x-4=0 is only in one variable, i.e. x, it has only one solution and that is x=4 and it is independent of value of y.
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4. Number of solutions of the equation x+0y-4=0 are?
a) One
b) Three
c) Infinite
d) Two
View Answer

Answer: c
Explanation: Since the given equation is in two variables x and y and coefficient of y is 0, solutions of this equation are: (x, y) = (4, 0), (4, 1), (4, 2), …… (4, r) where r is any real number. You can see that solution only have to satisfy the value of x and it true for any real value of y. Thus the given equation has infinite solutions.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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To practice Mathematics Question Bank for Class 9, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter