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Alenkasestr [34]
3 years ago
11

Name three points that are collinear. Assume angle TSR is not a straight angle.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0

Answer:

TS, SR, and TR are all co-linear

Step-by-step explanation:

Regardless of where the points lie, you can connect a line segment from point T to point S, so TS are co-linear

The same goes for point S to point R

The same goes for point T to point R

The definition of a line is the shortest distance through 2 points in space, so you can make a line between any 2 points.

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Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
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Answer:

y²=4√2.x

Step-by-step explanation:

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The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

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⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

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