Q55.If a line y = mx + c, is a tangent to the circle (x −3)2 + y2 = 1 , and it is perpendicular to a line L1, where , 1 ), then L1 is the tangent to the circle x2 + y2 = 1 , at the point ( √21 √2 (1) c2 −7c + 6 = 0 (2) c2 + 7c + 6 = 0 (3) c2 + 6c + 7 = 0 (4) c2 −6c + 7 = 0
What This Question Tests
This question combines concepts of circles and straight lines, requiring the use of the condition for tangency and properties of perpendicular lines to find the equation involving the constant 'c'.
Concepts Tested
Formulas Used
Condition for tangency (distance from center to line = radius)
Slope of perpendicular lines
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangent to a circle
- Year
- 2020
- Shift
- 08 Jan Shift 2
- Q Number
- Q55
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Circles)
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