Suppose a point X lies in the exterior of a disk, and suppose that two lines are drawn from X tangent to the circle. If one line is tangent at Y and the other line is tangent at Z, then show that the line segment XY is congruent to the line segment XZ.

Q: Given the curves a -- of intersection. (t)=(41,3-²,5-12) and r(t) = (²-8,-1,1-3), find all points

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Q: 1. Give parametrizations of each curve. a. The line through (-2, 5) and (5, - 1) such as i goes from…

A: The difference between the x values= 5-(-2)=7  The difference between the y values= -1-5=-6  The…

Q: Find the segment length indicated. 1) 19 11.4

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: Find the slope-intercept form of the line tangent to the circle of radius 4 centered at (1, –2) and…

A: Given radius of a circle is 4 centered at (1,-2) and passing through (2,15-2)

Q: Show the symmetry tests for the curve r=3-3costheta

A: Consider the curve

Q: A triangle with vertices X, Y, and Z overlap a circle. Vertex X is at the center of the circle. XY…

A: We have to determine if the YZ is tangent or not.

Q: 6. Show that the line with equation y = 3x – 5 is a tangent to the circle with equation x² +y? + 2x…

A: Equation of line : y=3x-5 Equation of circle : x2 + y2 +2x -4y -5=0 We have to prove that the line…

Q: c. Evaluate f 3x ds, where C consists of arc C₁ of parabola y = x² from (0,0) to (2,4), followed by…

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Q: Suppose the center of a circle is at (3, - 2) and a point on the circle is at (6, – 1). The radius…

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