Question

The equation which does not represent a hyperbola is
(a)x² - y² = 9
(b)x²+y²=5
(c)x²+y²=16
(d)x²-y²=0
​

Answer 1

Answer:

The equation which does not represent a hyperbola is

(a)x² - y² = 9

(b)x²+y²=5

(c)x²+y²=16

(d)x²-y²=0

​Step-by-step explanation:

• The question is- what is the equation which is not the equation of hyperbola.
• we are also given with 4 options that are- (a)x² - y² = 9 (b)x²+y²=5 (c)x²+y²=16 (d)x²-y²=0.
• But let us understand what is hyperbola- In mathematics hyperbola is a type of smooth curve lying in a plane, which is defined by its geometric properties or by equations for which it is the solution set.
• A hyperbola is two curves that are like infinite bows.
• The formula for hyperbola is or we can say the standard equation for hyperbola is- x2a2- y2b2= 1x2a2- y2b2 =1.
• In geometry hyperbola is a conic section which is formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.
• The equation which does represent the equation for hyperbola is option D, that is x²-y²=0.

Hence, option D is correct answer.

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