If a≠0 and the line 2bx+3cy+4d=0 passes through the points of intersection of the parabolas y² =4ax and x²=4ay, then Class 11 Parabola

 

For the parabola y² =4ax, the length of the chord passing through the vertex and inclined to the x-axis at angle θ, is Class 11 Parabola

 

Find the equation of circle drawn on the line segment joining the foci of the two parabola x²=4ay and y²=4a(x-a) Class 11 Parabola

 

If a straight line passing through the focus of a parabola y²=4ax intersect the parabola at the point (x1, y1) and (x2, y2) then prove that y1y2+4x1x2=0 Class 11 Parabola

 

Show that the equation of the chord of the parabola y²=4ax through the points (x2, y1) and (x2, y2) on it is (y-y1) (y-y2) =y²-4ax Class 11 Parabola

 

The directrix of a parabola is x+y+4=0 and vertex (-1, - 1) Find the position of focus and equation of parabola Class 11 Parabola

 

PQ is a chord of the parabola y²=4ax. The ordinate of P is twice that Q. Prove that the locus of the mid point of PQ is 5y²=18ax Class 11 Parabola