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The curve given by the equation √(ax) + √(by) = 1 is a
- ellipse
- hyperbola
- parabola
- none of these
Correct answer: parabola
Solution
The equation ( rac{ ext{sqrt}(ax)}{1} + rac{ ext{sqrt}(by)}{1} = 1 ext{,} ext{ which can be manipulated to resemble the standard form of a parabola, indicates that it represents a parabolic curve. This is due to the presence of square root terms that define the relationship between x and y in a way characteristic of parabolas.
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