If x+5=0 is the directrix and (-3,0) is the v | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The directrix is $x = -5$ and the vertex is $V(-3, 0)$.Since the directrix is a vertical line,the axis of the parabola is horizontal (the $x$-axis

Vedclass · Accepted Answer

$y^2=8(x+3)$

Vedclass · Answer

(A) The directrix is $x = -5$ and the vertex is $V(-3, 0)$.Since the directrix is a vertical line,the axis of the parabola is horizontal (the $x$-axis).The distance from the vertex to the directrix is $a = |-3 - (-5)| = 2$.Since the vertex is to the right of the directrix,the parabola opens to the right.The standard form of a parabola opening to the right with vertex $(h, k)$ is $(y-k)^2 = 4a(x-h)$.Substituting $h = -3$,$k = 0$,and $a = 2$,we get:$(y-0)^2 = 4(2)(x - (-3))$$y^2 = 8(x+3)$

If $x+5=0$ is the directrix and $(-3,0)$ is the vertex of a parabola,then the equation of this parabola is . . . . . .

Similar Questions

Variable chords of the parabola $y^2 = 4ax$ subtend a right angle at the vertex. Then:

If the focus of a parabola is $(1, 0)$ and its directrix is $x + y = 5$,what is its vertex?

The Cartesian coordinates of the point on the parabola $y^{2}=x$ whose parameter is $t = -\frac{4}{3}$ are

The lengths of the two focal chords of the parabola $y^2 = 16x$ are $25$ units each. If these two chords cut the parabola at $A, B, C$ and $D$,then the area (in sq. units) of the quadrilateral formed by $A, B, C$ and $D$ is

The length of the normal chord to the parabola $y^2 = 4x$,which subtends a right angle at the vertex,is

Vedclass Test Series

Exam Paper Generator

Online Exam Module