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Coordinate Geometry Lines and Circles Questions for AGNIVEER NAVY

Free, AI-curated practice for the Coordinate Geometry Lines and Circles section of AGNIVEER NAVY. We have 17+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · hard · AI-verified
The number of common tangents to the circles x² + y² − 4x − 6y − 12 = 0 and x² + y² + 6x + 18y + 26 = 0 is:
  1. 4
  2. 1
  3. 2
  4. 3
Q2 · medium · AI-verified
Find the equation of the line passing through (2, 3) and parallel to the line 3x - 4y + 5 = 0.
  1. 3x + 4y - 18 = 0
  2. 4x - 3y + 1 = 0
  3. 3x - 4y - 6 = 0
  4. 3x - 4y + 6 = 0
Q3 · hard · AI-verified
The distance between the parallel lines 3x + 4y − 5 = 0 and 6x + 8y + 7 = 0 is:
  1. 17/5
  2. 17/10
  3. 12/5
  4. 7/10
Q4 · medium · AI-verified
What is the radius of the circle whose equation is x² + y² = 49?
  1. √7
  2. 14
  3. 7
  4. 49
Q5 · medium · AI-verified
Find the midpoint of the line segment joining the points (-2, 5) and (6, -1).
  1. (4, 4)
  2. (2, 2)
  3. (3, 2)
  4. (2, 3)
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