Aparabola is the set of all points that:

a, are the same distance from two lines
b, are the same distance from a point and a line
c, are the same distance from one point
d, are the same distance from two points

Option B is the right answer.

Step-by-step explanation:

A parabola is part of a conic section which is got by cutting a right circular cone by a plane, when the intersection gives rise to an open figure.

A parabola is defined as one conic section with eccentricity 1.

Eccentricity is defined as the ratio of distance of the curve from a line to the distance from a point.

In parabola, the line is the directrix, and the point is the vertex.

And always in a parabola, the distance from the directrix will equal the distance from vertex

Hence option b is right.

Are the same distance from a point and a line.

Step-by-step explanation:

20

step-by-step explanation:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.