CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 17

Mathematics Objective Questions and Answers: Chapter 15 Introduction to Graphs

Explore reliable objective questions for Chapter 15 Introduction to Graphs tailored for Class 8 learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Download Chapter 15 Introduction to Graphs MCQs with Answers

View or download the dedicated Chapter 15 Introduction to Graphs MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

Multiple Choice Questions

Question 1: The point (-3, 4) lies on:
(a) the third quadrant
(b) the fourth quadrant
(c) the second quadrant
(d) the x-axis
Show Answer & Explanation

Answer: (c) the second quadrant

Explanation:
1. For (-3, 4), x is negative and y is positive.
2. So it lies on the second quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 2: The point (2, 7) lies on:
(a) the fourth quadrant
(b) the third quadrant
(c) the x-axis
(d) the first quadrant
Show Answer & Explanation

Answer: (d) the first quadrant

Explanation:
1. For (2, 7), x is positive and y is positive.
2. So it lies on the first quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 3: The point (0, 3) lies on:
(a) the y-axis
(b) the fourth quadrant
(c) the first quadrant
(d) the third quadrant
Show Answer & Explanation

Answer: (a) the y-axis

Explanation:
1. For (0, 3), its x-coordinate (abscissa) is 0.
2. So it lies on the y-axis.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 4: The point (3, -8) lies on:
(a) the x-axis
(b) the fourth quadrant
(c) the third quadrant
(d) the first quadrant
Show Answer & Explanation

Answer: (b) the fourth quadrant

Explanation:
1. For (3, -8), x is positive and y is negative.
2. So it lies on the fourth quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 5: The point (-7, -11) lies on:
(a) the first quadrant
(b) the x-axis
(c) the third quadrant
(d) the fourth quadrant
Show Answer & Explanation

Answer: (c) the third quadrant

Explanation:
1. For (-7, -11), x is negative and y is negative.
2. So it lies on the third quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 6: The point (9, 0) lies on:
(a) the first quadrant
(b) the x-axis
(c) the y-axis
(d) the second quadrant
Show Answer & Explanation

Answer: (b) the x-axis

Explanation:
1. For (9, 0), its y-coordinate (ordinate) is 0.
2. So it lies on the x-axis.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 7: The point (-5, 0) lies on:
(a) the x-axis
(b) the first quadrant
(c) the fourth quadrant
(d) the second quadrant
Show Answer & Explanation

Answer: (a) the x-axis

Explanation:
1. For (-5, 0), its y-coordinate (ordinate) is 0.
2. So it lies on the x-axis.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 8: The point (15, -30) lies on:
(a) the first quadrant
(b) the third quadrant
(c) the fourth quadrant
(d) the x-axis
Show Answer & Explanation

Answer: (c) the fourth quadrant

Explanation:
1. For (15, -30), x is positive and y is negative.
2. So it lies on the fourth quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 9: The point (-15, -20) lies on:
(a) the x-axis
(b) the fourth quadrant
(c) the third quadrant
(d) the first quadrant
Show Answer & Explanation

Answer: (c) the third quadrant

Explanation:
1. For (-15, -20), x is negative and y is negative.
2. So it lies on the third quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 10: The horizontal number line of a coordinate plane is called the:
(a) abscissa
(b) y-axis
(c) x-axis
(d) origin
Show Answer & Explanation

Answer: (c) x-axis

Explanation:
1. The horizontal line is the x-axis and the vertical line is the y-axis.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 11: The coordinates of the origin are:
(a) (0, 1)
(b) (1, 1)
(c) (1, 0)
(d) (0, 0)
Show Answer & Explanation

Answer: (d) (0, 0)

Explanation:
1. The axes meet at the origin, where both coordinates are zero.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 12: In the point (3, 4), the number 4 is called the:
(a) abscissa
(b) quadrant
(c) origin
(d) ordinate
Show Answer & Explanation

Answer: (d) ordinate

Explanation:
1. The x-coordinate is the abscissa and the y-coordinate is the ordinate.
2. So 4 is the ordinate.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 13: The abscissa of every point on the y-axis is:
(a) 0
(b) 1
(c) the same as its ordinate
(d) negative
Show Answer & Explanation

Answer: (a) 0

Explanation:
1. On the y-axis the point has no horizontal distance from the y-axis, so x = 0.
2. For example (0, 7), (0, -5).

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 14: The ordinate of every point on the x-axis is:
(a) positive
(b) the same as its abscissa
(c) 1
(d) 0
Show Answer & Explanation

Answer: (d) 0

Explanation:
1. On the x-axis y = 0, e.g. (-5, 0), (2, 0), (7, 0).

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 15: In which quadrant is the abscissa negative and the ordinate positive?
(a) first quadrant
(b) third quadrant
(c) fourth quadrant
(d) second quadrant
Show Answer & Explanation

Answer: (d) second quadrant

Explanation:
1. Signs (-, +) belong to the second quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 16: A point whose both coordinates are negative lies in the:
(a) third quadrant
(b) second quadrant
(c) fourth quadrant
(d) first quadrant
Show Answer & Explanation

Answer: (a) third quadrant

Explanation:
1. Signs (-, -) belong to the third quadrant.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 17: The sign of the coordinates of a point in the fourth quadrant is:
(a) (-, -)
(b) (+, +)
(c) (-, +)
(d) (+, -)
Show Answer & Explanation

Answer: (d) (+, -)

Explanation:
1. In the fourth quadrant x is positive and y is negative.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 18: The distances of the point (0, 3) from the x-axis and the y-axis respectively are:
(a) 3 and 3
(b) 0 and 3
(c) 3 and 0
(d) 4 and 1
Show Answer & Explanation

Answer: (c) 3 and 0

Explanation:
1. Distance from the x-axis = |y| = 3 and from the y-axis = |x| = 0.
2. Distances are always positive.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 19: The distances of the point (5, -2) from the x-axis and the y-axis respectively are:
(a) 7 and 7
(b) 5 and 2
(c) 2 and 5
(d) -2 and 5
Show Answer & Explanation

Answer: (c) 2 and 5

Explanation:
1. Distance from the x-axis = |y| = 2 and from the y-axis = |x| = 5.
2. Distances are always positive.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 20: The distances of the point (7, 3) from the x-axis and the y-axis respectively are:
(a) 4 and 8
(b) 10 and 10
(c) 3 and 7
(d) 7 and 3
Show Answer & Explanation

Answer: (c) 3 and 7

Explanation:
1. Distance from the x-axis = |y| = 3 and from the y-axis = |x| = 7.
2. Distances are always positive.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 21: The distances of the point (8, 17) from the x-axis and the y-axis respectively are:
(a) 17 and 8
(b) 18 and 9
(c) 25 and 25
(d) 8 and 17
Show Answer & Explanation

Answer: (a) 17 and 8

Explanation:
1. Distance from the x-axis = |y| = 17 and from the y-axis = |x| = 8.
2. Distances are always positive.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 22: The distances of the point (15, 3) from the x-axis and the y-axis respectively are:
(a) 15 and 3
(b) 18 and 18
(c) 3 and 15
(d) 4 and 16
Show Answer & Explanation

Answer: (c) 3 and 15

Explanation:
1. Distance from the x-axis = |y| = 3 and from the y-axis = |x| = 15.
2. Distances are always positive.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 23: The distance of the point (3, 4) from the origin is:
(a) 6 units
(b) 7 units
(c) 5 units
(d) 4 units
Show Answer & Explanation

Answer: (c) 5 units

Explanation:
1. Distance = sqrt(x² + y²) = sqrt(9 + 16) = sqrt(25).
2. This equals 5 units.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 24: The distance of the point (1, 1) from the origin is:
(a) 1 units
(b) \( \sqrt{3} \) units
(c) \( \sqrt{2} \) units
(d) 2 units
Show Answer & Explanation

Answer: (c) \( \sqrt{2} \) units

Explanation:
1. Distance = sqrt(x² + y²) = sqrt(1 + 1) = sqrt(2).
2. This equals sqrt 2 units.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 25: The distance of the point (9, 40) from the origin is:
(a) 40 units
(b) 41 units
(c) 42 units
(d) 49 units
Show Answer & Explanation

Answer: (b) 41 units

Explanation:
1. Distance = sqrt(x² + y²) = sqrt(81 + 1600) = sqrt(1681).
2. This equals 41 units.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 26: The distance between A(-5, 0) and B(7, 0) is:
(a) 7 units
(b) 12 units
(c) 2 units
(d) -12 units
Show Answer & Explanation

Answer: (b) 12 units

Explanation:
1. Both points lie on the x-axis, so distance = |7 - (-5)| = 12.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Question 27: The distance between P(0, 3) and Q(0, -2) is:
(a) 5 units
(b) 1 unit
(c) 3 units
(d) -5 units
Show Answer & Explanation

Answer: (a) 5 units

Explanation:
1. Both points lie on the y-axis, so distance = |3 - (-2)| = 5.

Teacher's Note:
1. Check each answer against the definitions of axes, quadrants and coordinates.
2. Distances are always positive.

Free study material for Mathematics

Download Chapter MCQs: Class 8 Mathematics Chapter 15 Introduction to Graphs

About Chapter 15 Introduction to Graphs MCQs for Class 8 Mathematics

Review structured objective questions for Class 8 Mathematics Chapter 15 Introduction to Graphs. Built according to official CBSE guidelines, these MCQ sets support daily revision and core concept reinforcement.

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FAQs

Where can I access latest CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 17?

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Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 8 material?

Yes, our CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 17 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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By solving our CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 17, Class 8 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

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Yes, Mathematics MCQs for Class 8 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

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Yes, you can also access online interactive tests for CBSE Class 8 Mathematics Introduction to Graphs MCQs Set 17 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.