Coordinate Geometry — Practice Quiz
CBSE · Class 11 · Applied Mathematics
Try a 4-question quiz on Coordinate Geometry for CBSE Class 11 Applied Mathematics: tap an answer to check it and see why.
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Quick Quiz: Coordinate Geometry
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Find the slope of the line passing through points A(2, 3) and B(5, 9).
What is the equation of a line with slope 3 passing through point (1, 2)?
Find the distance between the point P(3, 4) and the line 3x + 4y - 25 = 0.
What is the center of the circle x² + y² - 6x + 8y + 16 = 0?
Sample Questions
Which of the following represent parallel lines? (Select all correct answers)
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y = 2x + 3 and y = 2x - 1, 3x + 2y = 6 and 6x + 4y = 12
Parallel lines have equal slopes. First pair: both have slope 2. Third pair: converting to slope-intercept form gives y = -3x/2 + 3 and y = -3x/2 + 3, both have slope -3/2.
Calculate the radius of the circle x² + y² - 4x + 2y - 20 = 0.
Two lines are perpendicular if the product of their slopes is -1.
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True
For two perpendicular lines with slopes m₁ and m₂, we have m₁ × m₂ = -1. This is a fundamental property of perpendicular lines in coordinate geometry.
Find the equation of the line passing through points (1, 2) and (3, 6).
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y = 2x
Slope m = (6-2)/(3-1) = 4/2 = 2. Using point-slope form with (1,2): y - 2 = 2(x - 1), which gives y - 2 = 2x - 2, so y = 2x.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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