Chapter Exam

Chapter 5: Coordinate Geometry — Online MCQ Test

Q: What are the coordinates of the origin in the Cartesian plane?

Answer: A. (0, 0) — The origin is the point where the x-axis and y-axis intersect. Hence its coordinates are (0, 0).

Q: The distance between two points (x1, y1) and (x2, y2) is given by ______.

Answer: A. sqrt((x2 - x1)^2 + (y2 - y1)^2) — The distance formula is derived from Pythagoras theorem. It is sqrt((x2 - x1)^2 + (y2 - y1)^2).

Q: Find the distance between the points (3, 4) and (-1, 1).

Answer: A. 5 — Distance = sqrt((-1 - 3)^2 + (1 - 4)^2) = sqrt(16 + 9) = 5.

Q: If the distance between (k, 3) and (4, -1) is 5 units, find the possible values of k.

Answer: A. 1 or 7 — Using distance formula, (k - 4)^2 + (3 + 1)^2 = 25. Thus (k - 4)^2 = 9, so k = 1 or 7.

Q: Find the equation of the line whose intercepts on the coordinate axes are equal and which passes through (4, -2).

Answer: A. x + y = 2 — If the intercepts are equal, the equation is x/a + y/a = 1, or x + y = a. Since it passes through (4, -2), a = 4 - 2 = 2.

MATHS · CLASS 10th · Tamil Nadu State Board

Practice Chapter 5: Coordinate Geometry with a free chapter-wise online MCQ test for Tamil Nadu State Board CLASS 10th MATHS. This chapter covers: Cartesian plane Coordinates Distance formula Section formula Area of triangle Area of quadrilateral Slope Intercepts Equation of straight line Parallel lines Perpendicular lines. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 5: Coordinate Geometry — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board CLASS 10th MATHS — Chapter 5: Coordinate Geometry, with answers and explanations. These are sample questions; the exam has its own separate question set.

What are the coordinates of the origin in the Cartesian plane?

A. (0, 0) ✓
B. (1, 0)
C. (0, 1)
D. (1, 1)

Answer: A. (0, 0)
The origin is the point where the x-axis and y-axis intersect. Hence its coordinates are (0, 0).

The distance between two points (x1, y1) and (x2, y2) is given by ______.

A. sqrt((x2 - x1)^2 + (y2 - y1)^2) ✓
B. (x2 - x1) + (y2 - y1)
C. sqrt((x2 + x1)^2 + (y2 + y1)^2)
D. (x1x2 + y1y2)

Answer: A. sqrt((x2 - x1)^2 + (y2 - y1)^2)
The distance formula is derived from Pythagoras theorem. It is sqrt((x2 - x1)^2 + (y2 - y1)^2).

Find the distance between the points (3, 4) and (-1, 1).

A. 5 ✓
B. 4
C. sqrt(7)
D. 25

Answer: A. 5
Distance = sqrt((-1 - 3)^2 + (1 - 4)^2) = sqrt(16 + 9) = 5.

If the distance between (k, 3) and (4, -1) is 5 units, find the possible values of k.

A. 1 or 7 ✓
B. -1 or 7
C. 1 or -7
D. 4 or 5

Answer: A. 1 or 7
Using distance formula, (k - 4)^2 + (3 + 1)^2 = 25. Thus (k - 4)^2 = 9, so k = 1 or 7.

Find the equation of the line whose intercepts on the coordinate axes are equal and which passes through (4, -2).

A. x + y = 2 ✓
B. x - y = 2
C. x + y = 6
D. 2x + y = 6

Answer: A. x + y = 2
If the intercepts are equal, the equation is x/a + y/a = 1, or x + y = a. Since it passes through (4, -2), a = 4 - 2 = 2.

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