Question

6y = 3x - 15 is an example of a a. Circle b. parabola c. ellipse d. hyperbola
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Answer 1

Given :  6y²   = 3x²  - 15

To Find : given Equation is an example of a

a. Circle

b. parabola

c. ellipse

d. hyperbola

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Solution:

6y²   = 3x²  - 15

=> 3x²  - 6y² = 15

=> 3x²/15  - 6y²/15 = 1

=> x²/3  - y² /(5/2)  = 1

=> x²/(√3)² - y²/(√(5/2))² = 1

x²/a² - y²/b² = 1

Equation of Hyperbola

Hence 6y²   = 3x²  - 15   is an example of a hyperbola

​option d is correct

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