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Through the vertex ' O^(prime) of the pa...

Through the vertex `' O^(prime)` of the parabola `y^2=4a x ,` variable chords `O Pa n dO Q` are drawn at right angles. If the variable chord `P Q` intersects the axis of `x` at `R` , then distance `O R :` equals double the perpendicular distance of focus from the directrix. equal the semi latus rectum of the parabola equals latus rectum of the parabola equals double the latus rectum of the parabola

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Through the vertex ' O^(prime) of the parabola y^2=4a x , variable chords O Pa n dO Q are drawn at right angles. If the variable chord P Q intersects the axis of x at R , then distance O R : (a)equals double the perpendicular distance of focus from the directrix. (b)equal the semi latus rectum of the parabola (c)equals latus rectum of the parabola (d)equals double the latus rectum of the parabola

Find the focus, the equation of the directrix and the length of latus rectum of the parabola y^(2)+12=4x+4y .

Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola y^2=8x .

Prove that the semi-latus rectum of the parabola y^(2) = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

Find the co-ordinates of the focus, the equation of the directrix and latus rectum of the parabola y^(2) = 20x .

Find vertex, focus, directrix and latus rectum of the parabola y^(2)+4x+4y-3=0 .

Find the equations of the normals at the ends of the latus- rectum of the parabola y^2= 4ax. Also prove that they are at right angles on the axis of the parabola.

Find the vertex, focus, directrix, axis and latus-rectum of the parabola y^2=4x+4ydot

Find the vertex, focus, directrix, axis and latus-rectum of the parabola y^2=4x+4ydot

Find the vertex, focus, directrix and length of the latus rectum of the parabola y^2 - 4y-2x-8=0

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