Anonymous
May 10
When a>0 which quadrant with the hyperbola be and when a<0 ?
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ChatGPT
May 10
When a>0, the hyperbola will be in the first and third quadrants.
When a<0, the hyperbola will be in the second and fourth quadrants.
When a<0, the hyperbola will be in the second and fourth quadrants.
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Google Gemini AI
May 10
When a > 0:
The hyperbola will be in the first and fourth quadrants.
When a < 0:
The hyperbola will be in the second and third quadrants.
This is because the value of "a" determines the orientation of the hyperbola's transverse axis. When a > 0, the transverse axis is horizontal and the hyperbola is wider in the x-direction. When a < 0, the transverse axis is vertical and the hyperbola is wider in the y-direction. The quadrants where the hyperbola lies depend on the direction of the transverse axis.
The hyperbola will be in the first and fourth quadrants.
When a < 0:
The hyperbola will be in the second and third quadrants.
This is because the value of "a" determines the orientation of the hyperbola's transverse axis. When a > 0, the transverse axis is horizontal and the hyperbola is wider in the x-direction. When a < 0, the transverse axis is vertical and the hyperbola is wider in the y-direction. The quadrants where the hyperbola lies depend on the direction of the transverse axis.
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