Q72.The minimum area of a triangle formed by any tangent to the ellipse x2 = 1 and the co-ordinate axes is: 16 + 81 (1) 12 (2) 18 (3) 26 (4) 36
What This Question Tests
This question tests the knowledge of tangents drawn from an external point to a parabola, specifically how to find the slopes of these tangents and then calculate the angle between them using the formula for the angle between two lines.
Concepts Tested
Formulas Used
Equation of tangent to y^2=4ax is y = mx + a/m
If tangents from (x1, y1) have slopes m1, m2, then m1+m2 = y1/x1 and m1m2 = a/x1
tan(alpha) = |(m1-m2)/(1+m1m2)|
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📋 Question Details
- Chapter
- Parabola
- Topic
- Tangents to a parabola, angle between tangents
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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