Question

What are the equations of the lines that pass through the point P(-3,-2) and that touch (tangent to) the circle with radius r = 5 and center M(4,-1)?

Answer #1

What are the equations of the lines that pass through the point
P(-3,-2) and the circle with radius r = 5 and center M(4,-1)?

What are the equations of the lines that pass through the point
P(-3,-2) and the circle with radius r = 5 and center M(4,-1)?

Determine the equations of two lines that pass through the point
(-1,-3) and are tangent to the graph of y=x2+1.

Find the equations of ALL tangent lines to the curve x 2 + 4y 2
= 8 that pass through the point (−4, 0).
- I got to dy/dx = -x/4y Now that I have that i am stuck.

Determine the equations of the lines that are tangent to the
ellipse x2 + 4y2 = 16 and also pass through
the point (4,6)
[ANSWER: 2x -y + 10 = 0 and x=4]

Find the equations for the lines:
a.) Through the point (3,2) parallel to x-3y=4
b.) Through the points (4,-3) and (8,5)

1. Given a circle centered at C with a
radius of r and a point P outside of the circle. If segment PT is
tangent to the circle at T show that the power of point P with
respect to the circle is equal to PT squared.

Sketch the curve y = x^2 + 5 , and the point (0,-6) on the
same
coordinates. Find the equations of the lines that pass through the
point
(0,-6) and tangent to the curve y = x^2 +5 at the point x = a.
(Hint there
are two values of a : a > 0 and a < 0 )

Using MatLab
2. Given the parametric equations x = t^3 - 3t, y = t^2-3:
(a) Find the points where the tangent line is horizontal or
vertical (indicate which in a text line)
(b) Plot the curve parametrized by these equations to
confirm.
(c) Note that the curve crosses itself at the origin. Find the
equation of both tangent lines.
(d) Find the length of the loop in the graph and the area
enclosed by the loop.
3. Use what...

Suppose you are looking at a field [m[x,y],n[x,y]] which has one
singualrity at a point P and no other singularities. While studying
the singulairty, you center a circle of radius r on the point P and
no other singularites. While studying the singularity, you center a
circle of radius r on the point P and parameterize this circle in
the counter-clockwise direction as Cr;{x[t],y[t]}. You calculate
(integralCr) -n[x[t],y[t]]x'[t] + m[x[t], y[t]]y'[t]dt and find
that it is equal to -1 +...

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