Q66.If the image of the point (−4, 5) in the line x + 2y = 2 lies on the circle (x + 4)2 + (y −3)2 = r2 , then r is equal to: (1) 2 (2) 3 (3) 1 (4) 4
What This Question Tests
This question tests the ability to find the image of a point with respect to a line and then use the distance formula to find the radius of a circle.
Concepts Tested
Formulas Used
(x-x1)/A = (y-y1)/B = -2(Ax1+By1+C)/(A^2+B^2)
Distance = √((x2-x1)^2 + (y2-y1)^2)
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📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Image of a point in a line
- Year
- 2024
- Shift
- 08 Apr Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines, Class 11 Mathematics Ch 11: Conic Sections (circles)
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