Chapter 7: Coordinate Geometry — Online MCQ Test
MATHS · CLASS 10th · Telangana State Board
Practice Chapter 7: Coordinate Geometry with a free chapter-wise online MCQ test.
This chapter covers: Bridging algebra and geometry on a Cartesian plane.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter 7: Coordinate Geometry — Important Questions & Answers
What are the coordinates of the origin on a Cartesian plane?
- A. (0, 0)
- B. (1, 1)
- C. (0, 1)
- D. (1, 0)
Answer: A. (0, 0)
The origin is the point where the x-axis and y-axis intersect, which is always at (0, 0).
The origin is the point where the x-axis and y-axis intersect, which is always at (0, 0).
In which quadrant does the point (-3, 5) lie?
- A. First quadrant
- B. Second quadrant
- C. Third quadrant
- D. Fourth quadrant
Answer: B. Second quadrant
A point with negative x-coordinate and positive y-coordinate lies in the second quadrant.
A point with negative x-coordinate and positive y-coordinate lies in the second quadrant.
Find the distance between points P(0, 0) and Q(3, 4).
- A. 5
- B. 7
- C. 12
- D. 25
Answer: A. 5
Distance = √[(3-0)² + (4-0)²] = √[9 + 16] = √25 = 5.
Distance = √[(3-0)² + (4-0)²] = √[9 + 16] = √25 = 5.
The vertices of a triangle are A(1, 2), B(4, 2), and C(4, 5). What is the area of this triangle?
- A. 4.5 square units
- B. 9 square units
- C. 6 square units
- D. 12 square units
Answer: A. 4.5 square units
Area = ½|x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)| = ½|1(2-5) + 4(5-2) + 4(2-2)| = ½|-3 + 12| = 4.5.
Area = ½|x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)| = ½|1(2-5) + 4(5-2) + 4(2-2)| = ½|-3 + 12| = 4.5.
Which statement is correct about two parallel lines with slopes m₁ and m₂?
- A. m₁ = m₂
- B. m₁ × m₂ = -1
- C. m₁ + m₂ = 0
- D. m₁ - m₂ = 1
Answer: A. m₁ = m₂
Two lines are parallel if and only if they have equal slopes; m₁ = m₂. Perpendicular lines satisfy m₁ × m₂ = -1.
Two lines are parallel if and only if they have equal slopes; m₁ = m₂. Perpendicular lines satisfy m₁ × m₂ = -1.