If two distinct chords of a parabola `y^2=4ax` , passing through (a,2a) are bisected by the line x+y=1 ,then length of latus rectum can be

Find the condition on aa n db for which two distinct chords of the hyperbola (x^2)/(2a^2)-(y^2)/(2b^2)=1 passing through (a , b) are bisected by the line x+y=b .

If the parabola y^2 = ax passes through (3,2) then the focus is

The parabola y^(2)=4ax passes through the point (2,-6), the the length of its latus rectum is . . . .

The area bounded by the parabola x^2=y and is latus rectum is :

The area bounded by the parabola y^(2) = x and its latus rectum is

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 The length of latus rectum is

Find the area of the parabola y^2=4ax and its latus rectum.

The equation of the latus rectum of a parabola is x+y=8 and the equation of the tangent at the vertex is x+y=12. Then find the length of the latus rectum.