Q66.The image of the point (3, 5) in the line x −y + 1 = 0, lies on : (1) (x −2)2 + (y −4)2 = 4 (2) (x −4)2 + (y −4)2 = 8 (3) (x −4)2 + (y + 2)2 = 16 (4) (x −2)2 + (y −2)2 = 12
What This Question Tests
This question requires calculating the image of a given point with respect to a line and then checking which of the provided circle equations the image point satisfies.
Concepts Tested
Formulas Used
(x'-x1)/a = (y'-y1)/b = -2(ax1+by1+c)/(a^2+b^2)
Equation of a circle (x-h)^2 + (y-k)^2 = r^2
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Image of a point in a line
- Year
- 2021
- Shift
- 25 Feb Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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