Q69.If the line y = mx + 1 meets the circle x2 + y2 + 3x = 0 in two points equidistant from and on opposite sides of x -axis, then (1) 3m + 2 = 0 (2) 3m −2 = 0 (3) 2m + 3 = 0 (4) 2m −3 = 0
What This Question Tests
This question involves finding the condition for a line intersecting a circle at two points that are equidistant from and on opposite sides of the x-axis, implying specific properties for the y-coordinates of the intersection points.
Concepts Tested
Formulas Used
For a circle x^2 + y^2 + 2gx + 2fy + c = 0, center is (-g, -f)
Intersection of line y=mx+c and circle x^2 + y^2 + 3x = 0 leads to a quadratic in x.
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📋 Question Details
- Chapter
- Circles
- Topic
- Intersection of line and circle
- Year
- 2012
- Shift
- 19 May Online
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (briefly mentioned circle)
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