CBSE Class 10 Mathematics Standard 2025: question 3
Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, section A, question 3, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q3 · 1 mark · MCQCoordinate Geometry
The mid-point of the line segment joining the points P(, 5) and Q(4, 6) lies on :
- (A)x-axis
- (B)y-axis
- (C)origin
- (D)neither x-axis nor y-axis
Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Use the mid-point formula .
Hint 2
A point with x-coordinate 0 lies on which axis?
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
Mid-point .
- 1 mark
The x-coordinate is 0 and the y-coordinate is not 0, so the point lies on the y-axis. This is option (B).
Answer: lies on the y-axis, option (B)
Where the marks are
- Finds the mid-point and identifies the y-axis, option (B) (1 mark)
Revise the chapter
- Chapter: Coordinate Geometry (notes, formulas, where marks are lost and every past question)
- Topic: Midpoint Formula and Points of Trisection
More questions from Coordinate Geometry
- 2025 board paper, set 30/2/1 (Standard), Q28 · 3 marksIf the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and x + y - 10 = 0, the…
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- 2024 board paper, set 30/1/1 (Standard), Q17 · 1 markThe centre of a circle is at (2, 0). If one end of a diameter is at (6, 0), then the other end is at:
The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.