<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;
Substituting the values, we get;
Cross multiplying, we get;
Dividing both sides by 27, we have;
Thus, the value of x is
Hence, Option D is the correct answer.
Answer:
y²=4√2.x
Step-by-step explanation:
The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.
The distance between the focus and the directrix of the parabola P is
=
{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by }
Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax
{Since the parabola has vertical directrix}
Hence, the distance between focus and the directrix is 2a = , {Two parabolas are congruent when the distances between their focus and the directrix are same}
⇒ a=√2
Therefore, the equation of the parabola is y²=4√2.x (Answer)