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: Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis…

A: We have to find the distance between line segments t' and r'

Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

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: A circle with center at the origin and radius equal to a meets the axis of x at A and B. P(a) and…

A: The coordinates of A are (-a,0) and that of P are (a cos α,a sin α)  Therefore,the equation of AP…

Q: Find the point(s) of intersection of two circles, one centered at the origin and, the other,…

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Q: Use the Distance Formula to show that the circle with center (0, 0) and radius length r has the…

A: Given: x2+y2=r2 Formula used: OA=x-02+y-02

Q: Find the distance from the line x = 2 + t, y = 1 + t, z = (1/2) (1/2)t to the plane x + 2y + 6z =…

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Q: n hyperbolic geometry, given a line l and a point P not on l, there exist line(s) parallel to l.

A: Given a line l and and external point p which is not on line l. Through P infinite distinct lines…

Q: Consider two circles in a plane. The first circle, C₁, has a radius of r₁ and is centered at point…

A: For the centers of the two circles C1 and C2 to coincide, the coordinates of their centers must be…

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: B. Find the line through the point p(1,4) with an inclination V3

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Q: Find the locus of the centers of the circles x² + y²-2ax-2by- +2=0, where a and b are parameters, if…

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Q: nd the distance between the two dissonant lines below х-1 y z+1 L1: 2 4 L2: = = z – 3 x-2 у-5 %3D 2…

A: Explanation and solutions is given below.....

Q: A point T stays in the same location when it is reflected over line l. What can you conclude about…

A: Here, give that a point T stays in the same location when it is reflected over line l.

Q: Consider a circle with center (2, 4) and a radius of 5. Find the equation of the tangent line to the…

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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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Q: A circle has center (2, 4). Prove that if the radius of the circle is less than 5, then the circle…

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Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

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Q: Which of the following mathematical models is used to determine the distance between two points…

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Q: A circle with center at the origin and radius equal to a meets the axis of x at A and B. P(alpha)…

A:

Q: A circle with center at the origin and radius equal to a meets the axis of x at A and B. P(alpha)…

A: The coordinates of A are (-a,0) and that of P are (a cos α,a sin α)  Therefore,the equation of AP…

Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,