Q66.The acute angle between the pair of tangents drawn to the ellipse 2π₯2 + 3π¦2 = 5 from the point 1, 3 is 16 24 (1) tan-1 (2) tan-1 7β5 7β5 32 + 8β5 (3) tan-1 (4) tan-13 7β5 35
What This Question Tests
This question tests the ability to use the chord of contact or equation of a pair of tangents to find the slopes of the tangents and then compute the acute angle between them.
Concepts Tested
Formulas Used
Equation of pair of tangents: SSβ=TΒ²
tanΞΈ = |(mβ-mβ)/(1+mβmβ)|
General equation of ellipse
π NCERT Sections This Tests
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Physics Class 11 Β· Chapter 2
2.1 Two charges 5 Γ 10β8 C and β3 Γ 10β8 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 β Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 Β· 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 β A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 Β· 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.
π Question Details
- Chapter
- Ellipse
- Topic
- Tangents to an ellipse, angle between tangents
- Year
- 2022
- Shift
- 26 Jul Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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