Parabola · Mathematics · MHT CET

The equation of the tangent to the parabola $y^2=8 x$, which is parallel to the line $4 x-y+3=0$ is

The area of the triangle formed by the lines joining vertex of the parabola $x^2=12 y$ to the extremities of its latus rectum is

The equation of the directrix of the parabola $3 x^2=16 y$ is

The length of latus-rectum of the parabola $$x^2+2 y=8 x-7$$ is

The cartesian co-ordinates of the point on the parabola $$y^2=x$$ whose parameter is $$-\frac{4}{3}$$ are