Q85.Let L be a common tangent line to the curves 4x2 + 9y2 = 36 and (2x)2 + (2y)2 = 31 . Then the square of the slope of the line L is ______.
What This Question Tests
This question tests the ability to find common tangents to an ellipse and a circle by setting their standard tangent equations equal and solving for the slope. It requires careful algebraic manipulation.
Concepts Tested
Formulas Used
y = mx ยฑ sqrt(a^2m^2 + b^2)
y = mx ยฑ r*sqrt(1 + m^2)
๐ NCERT Sections This Tests
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2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
5.11 โ Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 ยท Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
2.2 โ A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 ยท Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
๐ Question Details
- Chapter
- Coordinate Geometry
- Topic
- Common tangents
- Year
- 2021
- Shift
- 26 Feb Shift 2
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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