Q55.If the common tangent to the parabolas, y2 = 4 x and x2 = 4 y also touches the circle, x2 + y2 = c2, then c is equal to : (1) 1 (2) 1 2√2 √2 (3) 41 (4) 12 P is any point on the
What This Question Tests
The problem asks for a common tangent to two parabolas and then applies the condition for this line to be tangent to a circle, requiring knowledge of tangent equations for different conic sections.
Concepts Tested
Formulas Used
y = mx + a/m (tangent to y^2=4ax)
y = mx - am^2 (tangent to x^2=4ay)
Distance from center to tangent line = radius
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangents to parabolas and circles
- Year
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q55
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections; Class 12 Mathematics Ch 10: Straight Lines
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