Coordinate Geometry (10 Mathematics)
Coordinate geometry combines algebra with geometry using coordinates to locate points and determine distances. This topic helps solve geometric problems us
TL;DR: Coordinate geometry combines algebra with geometry using coordinates to locate points and determine distances. This topic helps solve geometric proble…
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Coordinate geometry combines algebra with geometry using coordinates to locate points and determine distances. This topic helps solve geometric problems us
Coordinate Geometry MCQs with Answers & Explanations
Q1. What are the coordinates of the origin?
- (1, 1)
- (0, 0) ✓ (correct)
- (1, 0)
- (0, 1)
Q2. What is the distance formula between two points (x1, y1) and (x2, y2)?
- √((x2-x1)^2 + (y2-y1)^2) ✓ (correct)
- (x2-x1) + (y2-y1)
- √((x2-x1) + (y2-y1))
- (x2-x1) * (y2-y1)
Q3. What is the midpoint of the line segment joining (2, 3) and (4, 5)?
- (3, 4) ✓ (correct)
- (2, 4)
- (4, 3)
- (6, 8)
Q4. What is the slope of a line passing through (0, 0) and (2, 4)?
- 1
- 2 ✓ (correct)
- 0.5
- 4
Q5. If two lines are perpendicular, what is the relationship between their slopes?
- Slopes are equal
- Slopes are negative reciprocals of each other ✓ (correct)
- Sum of slopes is zero
- Product of slopes is zero
Q6. What is the equation of a line in slope-intercept form?
- ax + by + c = 0
- y = mx + c ✓ (correct)
- x/a + y/b = 1
- (y-y1) = m(x-x1)
Q7. What does the y-intercept represent?
- The slope of the line
- The point where the line crosses the y-axis ✓ (correct)
- The distance from origin
- The angle of the line
Q8. What is the angle of inclination of a horizontal line?
- 0 degrees ✓ (correct)
- 90 degrees
- 45 degrees
- 180 degrees
Q9. Which quadrant contains points with negative x and positive y coordinates?
- First quadrant
- Second quadrant ✓ (correct)
- Third quadrant
- Fourth quadrant
Q10. What is the distance from point (3, 4) to the origin?
- 5 ✓ (correct)
- 7
- 3
- 4
Frequently Asked Questions
How do you find the equation of a line passing through two given points?
Use the two-point form: (y-y1)/(y2-y1) = (x-x1)/(x2-x1). You can also find the slope m = (y2-y1)/(x2-x1) and use point-slope form: (y-y1) = m(x-x1).
What is the significance of the slope in coordinate geometry?
The slope measures the steepness and direction of a line. A positive slope means the line goes upward from left to right, while a negative slope means it goes downward.
More 10 Mathematics MCQs
- Arithmetic Progressions
- Circles
- Surface Areas and Volumes
- Trigonometry (Applications Case Study)
- Probability (Case Study)
- Coordinate Geometry (Case Study)
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