The correct options are
A Y2=4aX
B Y2=−4aX
Rotating the coordinate axes by 90∘ anticlockwise will transform the coordinates as
x=Xcos(90∘)−Ysin(90∘) and
y=Xsin(90∘)+Ycos(90∘)
⇒x=−Y, y=X
Substituting these values in the given equation
(−Y)2=4a(X)
⇒Y2=4aX
∴ the transformed equation is Y2=4aX
Rotating the coordinate axes by 90∘ clockwise will transform the coordinates as
x=Xcos(−90∘)−Ysin(−90∘) and
y=Xsin(−90∘)+Ycos(−90∘)
⇒x=Y, y=−X
Substituting these values in the given equation
(Y)2=4a(−X)
⇒Y2=−4aX
∴ the transformed equation is Y2=−4aX