10. Prove the following: Given a circle ß, if O is a point in the plane of 3 but in the exterior of ß, then there is a tangent to ß that passes through O.

Q: This problem uses content from section 7.7. Consider a circle Pwith centre (3,−2) which passes…

A: The given data is: The center of the circle is C3,-2 Circle passes through the point 7,-4 The…

Q: 6. RS and TU are common internal tangents to the circles. If RZ = 4,7 and ZU = 7.3, find RS and TU.…

A: We know that, the lengths of tangents drawn from an external point to a circle are equal.…

Q: .2 Use Green's Theorem to evaluate x-ydx - xy² dy , where C is the circle x +y² = 9 with…

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Q: 1.) Question is attached!

A: Given that radius= 5  Length of MN= 16  Length of ON=16 If MN is a tangent then it must make a right…

Q: 25. Rachel and Naomi are given cecle Cand point P below and are asked to construct a line tangent to…

A: This question can be solved using the concept of congruency of triangles.

Q: Which of the following terms is defined as "the set of all points in a plane that are a fixed…

A: A circle is the set of all points in a plane that are a fixed distance from a given point. The…

Q: e. Find points on the graph of xy°z² = 16 that are closest to the origin.

A: Let P be point (x0,y0,z0) Then, distance between P and origin is given by

Q: sin x and y = k (dotted) are shown at right. Given that the coordinates of P are (0, k), find the…

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Q: Evaluate ry dr +r dy, where C is the positively oriented triangle enclosed by the lines y = I=0 and…

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Q: Consider a circle in the xy-plane that has a center of (2, 1) and that contains a point of (-2,-2).…

A: Solution is here

Q: 15. M is the midpoint of line segment PQ, and R is the midpoint of TS. If PM = MQ = a and TR = RS =…

A:

Q: Let L be a line tangent to the circles C(O1,8) and C(O2,22) at points P and Q, respectively. If…

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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: 5. Given rectangle RECT with vertices R(-7, 2), E(–1,2), C(-1, 6) and T(-7,6). a. How would you…

A: Consider the given information, The rectangle RECT with vertices R(-7,2),E(-1,2),C(-1,6),T(-7,6). To…

Q: 1. For an angle to be in standard position, which of the following conditions MUST be satisfied? i.…

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Q: TC is a tangent to a circle at C and BA produced meets this tangent at T. Show that triangles TCA…

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Q: 8. Let y = -3 the origin. 9 and u = H Compute the distance from y to the line through u and 2

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Q: 1. Solve for x and y given that BA is tangent to circle H. A G T +3 X+3 7 • H חד F 3√3 t B 6 C D 23…

A: x=33​,y=3Explanation:Kindly see attached photo for your guidance.

Q: Situation 1: Line AB, tangent to circle P, at point B, and a point A in the exterior of circle P. SH…

A: We have to draw figure for given situation

Q: 4. Evaluate where C is a circle of radius 2, parallel to the r - z plane and around the y-axis with…

A: Using the parametric equation of the curve C.