If the axes are rotated anticlockwise through | vedclass

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(A) The given equation of the parabola is $x^2=4ay$.When the axes are rotated anticlockwise through an angle of $90^{\circ}$,the new coordinates $(x',

Vedclass · Accepted Answer

$y^2=4ax$

Vedclass · Answer

(A) The given equation of the parabola is $x^2=4ay$.When the axes are rotated anticlockwise through an angle of $90^{\circ}$,the new coordinates $(x', y')$ are related to the old coordinates $(x, y)$ by the transformation:$x = x' \cos(90^{\circ}) - y' \sin(90^{\circ}) = -y'$$y = x' \sin(90^{\circ}) + y' \cos(90^{\circ}) = x'$Substituting these into the original equation $x^2=4ay$:$(-y')^2 = 4a(x')$$y'^2 = 4ax'$Thus,the new equation is $y^2=4ax$.

If the axes are rotated anticlockwise through an angle $90^{\circ}$,then the equation $x^2=4ay$ is changed to the equation

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