R D Sharma Solutions for Chapter: Parabola, Exercise 2: VERY SHORT ANSWER QUESTIONS (VSAQs)

Write the axis of symmetry of the parabola $y^2=x$  [Write $x-$axis or $y-$axis]

If the equation of the directrix of the parabola $x^2-4x-8y+12=0$ is $y=k$. Find the value of $k$.

Write the equation of the parabola with focus $(0,0)$ and directrix $x+y-4=0$.

$PSQ$ is a focal chord of the parabola $y^2=8x$. If $SP=6$, then write $SQ$.

Write the coordinates of the vertex of the parabola whose focus is at $(-2,1)$ and directrix is the line $x+y$ $-3=0$.

If the coordinates of the vertex and focus of a parabola are $(-1,1)$ and $(2,3)$ respectively, then the equation of its directrix is $3x+k+14=0$. Find the value of $k$.

If the parabola $y^2=4ax$ passes through the point $(3,2),$ then find the length of its latusrectum.

If the equation of the parabola whose vertex is at $(-3,0)$ and the directrix is $x+5=0$ is $y^k=8(x+3)$. Find the value of $k$.