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Joint Entrance Examination (JEE Main Paper 1)

Organized By: National Testing Agency (NTA)

Engineering

Applicable For

Under Graduate

Course Level

06-04-2023

Exam Date

Click Here

Registration Link

1000 (INR)

Registration Fee

300

Maximum Marks

75

No of Questions

Online

Exam Mode

English + 12

Paper Language

2 /Year

Conduct Frequency

National Entrance

Exam level

50822

No of Seats

JoSAA

Counseling By

Conic Section Hyperbola

 A hyperbola is a symmetrical curve that consists of two branches opening in opposite directions. It is formed by intersecting a plane with a cone. The key feature of a hyperbola is that the difference of the distances from any point on the curve to two fixed points (foci) is constant. Hyperbolas have two asymptotes, pass through the center, and have reflective symmetry. They find applications in fields such as physics, engineering, and astronomy.

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Here are some key points of Conic Section Hyperbola :

  • Foci and Transverse Axis: The hyperbola has two foci, which are specific points inside the curve. The transverse axis is a line that connects the foci and goes through the center of the hyperbola.
  • Asymptotes: Hyperbolas have two asymptotes, which are straight lines that the branches of the hyperbola approach but never touch. These asymptotes pass through the center of the hyperbola.
  • Vertices: The vertices are points where the hyperbola intersects the transverse axis. They lie on the same line as the foci and the center.
  • Eccentricity: The eccentricity of a hyperbola indicates how stretched or compressed it is compared to a circle. It is always greater than 1.
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