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The equations x = at2, y = 4at ; t ∈ R represent
- a)a parabola
- b)a circle
- c)an ellipse
- d)a hyperbola
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The equationsx = at2,y = 4at ; t ∈ Rrepresenta)a parabolab)a circ...
The given equations are:
x = at^2
y = 4at
To eliminate the variable t and find an equation relating x and y, we can solve the second equation for t:
t = y / (4a)
Substituting this value of t into the first equation, we get:
x = a(y / (4a))^2
x = (y^2) / (16a)
Therefore, the equation relating x and y is:
x = (y^2) / (16a)
x = at^2
y = 4at
To eliminate the variable t and find an equation relating x and y, we can solve the second equation for t:
t = y / (4a)
Substituting this value of t into the first equation, we get:
x = a(y / (4a))^2
x = (y^2) / (16a)
Therefore, the equation relating x and y is:
x = (y^2) / (16a)
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Community Answer
The equationsx = at2,y = 4at ; t ∈ Rrepresenta)a parabolab)a circ...
Firstly I think you have to know the equation of a parabola and it's proff
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The equationsx = at2,y = 4at ; t ∈ Rrepresenta)a parabolab)a circlec)an ellipsed)a hyperbolaCorrect answer is option 'A'. Can you explain this answer?
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