Find the coordinates of the focus, axis of the parabola ,the equation of directrix and theĀ length of the latus rectum for x2=ā9y
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The given equation is x2=ā9y Here the coefficient of y is negative. Hence, the parabola opens downwards On comparing this equation with x2=ā4ay, we getĀ ā4a=ā9 āa=49ā ā“Ā Coordinates of the focus =(0,āa)=(0,ā49ā) Axis of the parabola is the y-axis i.e x=0 Equation of directrix y=a Ā i.e. y=49ā Length of latus rectum =4a=9