Q69.Locus of the image of the point (2, 3) in the line (2x −3y + 4) + k(x −2y + 3) = 0, k∈R , is a (1) Circle of radius √3 (2) Straight line parallel to x-axis. (3) Straight line parallel to y-axis. (4) Circle of radius √2
What This Question Tests
This question combines the concept of a family of lines passing through a fixed point with finding the image of another point, then determining the locus of this image.
Concepts Tested
Formulas Used
Equation of line for image
Midpoint formula
Perpendicularity condition
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Image of a point, Locus
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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