Identify the type of conic section whose equation is given. Given: displaystyle{2}{x}^{2}={y}^{2}+{2} To determine: The type of conics.

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-02-22

Identify the type of conic section whose equation is given.
Given:
2x2=y2+2
To determine: The type of conics.

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-02-23Added 102 answers

Explanation:
The given equation can be written as,
2x2=y2+2
2x2y2=2
x2y22=1
It is know that the equation of type (xα)2a2(yβ)2b2=1 forms a Hyperbola,
Thus this conic is a Hyperbola.
Answer: First option is correct

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