Q70.For which of the following curves, the line x + √3y = 2√3 is the tangent at the point ( 3√32 , 12 )? (1) 2x2 −18y2 = 9 (2) y2 = 1 x 6√3 (3) x2 + 9y2 = 9 (4) x2 + y2 = 7
What This Question Tests
This question requires checking which of the given conic sections has the specified line as a tangent at the given point, involving the use of tangent equations or derivatives.
Concepts Tested
Formulas Used
Equation of tangent for hyperbola/ellipse/circle/parabola
📚 NCERT Sections This Tests
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Tangents to Conics
- Year
- 2021
- Shift
- 24 Feb Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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