x=t^2+2 y=2t represent parabola then equation of parabola
savita30:
options are a.x^2=4(y-2) b.(y-2)^2=4x c.y^2=4(x-2) d.(x-2)^2=4y
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The answer is given below :
The given equations are
x = t² + 2 .....(i)
and
y = 2t .....(ii)
From (ii), we get
t = y/2
Now, putting t = y/2 in (i), we get
x = (y/2)² + 2
=> x = y²/2² + 2
=> x = y²/4 + 2
=> 4x = y² + 8
=> y² = 4x - 8
=> y² = 4(x - 2)
So, the required rational equation of the parabola is
y² = 4(x - 2).
Thank you for your question.
The given equations are
x = t² + 2 .....(i)
and
y = 2t .....(ii)
From (ii), we get
t = y/2
Now, putting t = y/2 in (i), we get
x = (y/2)² + 2
=> x = y²/2² + 2
=> x = y²/4 + 2
=> 4x = y² + 8
=> y² = 4x - 8
=> y² = 4(x - 2)
So, the required rational equation of the parabola is
y² = 4(x - 2).
Thank you for your question.
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