Class 10 Mathematics Chapter 7: Coordinate Geometry — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 7: Coordinate Geometry. Try the solved questions below, then take a free test with instant marking and explanations.
66 questions28 easy, 28 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. The x-coordinate (abscissa) of a point is its distance from the ______.
- y-axis
- x-axis
- origin
- line y = x
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Answer: A. y-axis
Why: The abscissa is the distance from the y-axis; the ordinate is the distance from the x-axis. [p.99]
Why: The abscissa is the distance from the y-axis; the ordinate is the distance from the x-axis. [p.99]
Q2. The y-coordinate of a point is also called its ______.
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Answer: ordinate
Why: x-coordinate = abscissa, y-coordinate = ordinate. [p.99]
Why: x-coordinate = abscissa, y-coordinate = ordinate. [p.99]
Q3. The distance between P(x₁, y₁) and Q(x₂, y₂) is ______.
- √[(x₂ − x₁)² + (y₂ − y₁)²]
- (x₂ − x₁) + (y₂ − y₁)
- √[(x₂ + x₁)² + (y₂ + y₁)²]
- (x₂ − x₁)² + (y₂ − y₁)²
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Answer: A. √[(x₂ − x₁)² + (y₂ − y₁)²]
Why: This is the distance formula. [p.100]
Why: This is the distance formula. [p.100]
Q4. The point dividing the join of A(x₁, y₁) and B(x₂, y₂) internally in the ratio m₁ : m₂ is ______.
- ((m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂))
- ((m₁x₁ + m₂x₂)/(m₁ + m₂), (m₁y₁ + m₂y₂)/(m₁ + m₂))
- ((x₁ + x₂)/2, (y₁ + y₂)/2)
- ((m₁x₂ − m₂x₁)/(m₁ − m₂), (m₁y₂ − m₂y₁)/(m₁ − m₂))
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Answer: A. ((m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂))
Why: m₁ multiplies the coordinates of B and m₂ those of A. [p.106]
Why: m₁ multiplies the coordinates of B and m₂ those of A. [p.106]
Q5. The mid-point of the segment joining P(x₁, y₁) and Q(x₂, y₂) is ______.
- ((x₁ + x₂)/2, (y₁ + y₂)/2)
- ((x₂ − x₁)/2, (y₂ − y₁)/2)
- (x₁ + x₂, y₁ + y₂)
- ((x₁ + y₁)/2, (x₂ + y₂)/2)
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Answer: A. ((x₁ + x₂)/2, (y₁ + y₂)/2)
Why: The mid-point divides the segment in the ratio 1 : 1. [p.107]
Why: The mid-point divides the segment in the ratio 1 : 1. [p.107]
Q6. Points that divide a line segment into three equal parts are called points of ______.
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Answer: trisection
Why: There are two such points, dividing the segment in 1 : 2 and 2 : 1. [p.109]
Why: There are two such points, dividing the segment in 1 : 2 and 2 : 1. [p.109]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 7: Coordinate Geometry?
66 questions (28 easy, 28 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.