Q71.If the eccentricity of a hyperbola x2 K 2 is = 1, which passes through (K, 2), is โ133 , then the value of 9 โy2b2 (1) 18 (2) 8 (3) 1 (4) 2
What This Question Tests
This question requires correctly interpreting the hyperbola equation from the input, using the given eccentricity to find 'b^2', and then substituting the passing point (K,2) to find the value of K. The PDF extraction was ambiguous, but assuming x^2/9 - y^2/b^2 = 1 leads to an answer matching options.
Concepts Tested
Formulas Used
x^2/a^2 - y^2/b^2 = 1
e = sqrt(1 + b^2/a^2)
๐ NCERT Sections This Tests
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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?
2.5 โ A Parallel Plate Capacitor With Air Between The Plates Has A
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2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10โ12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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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.
๐ Question Details
- Chapter
- Hyperbola
- Topic
- Equation and eccentricity of hyperbola
- Year
- 2012
- Shift
- 07 May Online
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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