Do what is asked: 1. If a line is perpendicular to a radius of a circle at its endpoint that is on the circle, then the line is tangent to the circle. Given: RS is a radius of OC at D. Prove: PQ is tangent to OS at R 2. List all the theorems on circle

Q: Consider Point P on the Circle with radius AP. Prove that line m is the unique tangent to the circle…

A: To prove that line m is the unique tangent to the circle at point P, we'll use the definition and…

Q: rvdxdy ( R nd x 2 0, y 2

A:

Q: The radius of a circle with centre at (-1, 2) and a tangent at x = -5 is ... Answer:

A: Distance between tangent and center of circle is radius.

Q: If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle then find the radius of the circle.…

A: The diameter of circle is the perpendicular distance between the parallel lines (tangents) 3x-4y+4=0…

Q: 16) ST and SR are tangent to Circle C. Find ST. А. 3 x+ 12 В. 7.3 C. 12 4x +9 D. 13

A: Solution:Given    ST=4x+9   and ST=x+12To find length ST:Formula:ST and SR be two tangent of a…

Q: Given circle O with tangents AB and AC Find x. B x2 + 8 A C 25 O 20 33 6

A: The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same…

Q: olit he giren puints A and Bi and find he slype of the otr yht hoie clebermined by Hen d aper…

A: Given points are, A1,2B2,-1 The formula for finding the slope of the straight line is, m=y2-y1x2-x1

Q: 3x° E 8x – 18° F

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Q: For circle O, the radius has length 4 inches. Describe the locus of points in the plane at a…

A: Circle: The locus of all the points in the plane which are equidistant called radius from a fixed…

Q: of the chord of contact of the tangents drawn from a point on the circle x² + y² = a² to he circle…

A: Let (h,k) be a point on x2+y2=a2. then h2+k2=a2           ....(1)the equation of the chord of…

Q: All 3 parts.

A: To find the slope of the tangent, we need f'(64)

Q: The construction suggests tangent line m to a circle that goes through point P in the exterior of…

A: Required:The construction suggests tangent line m to a circle that goes through point P in the…

Q: 3. Solve for x. 20 7x+2 18 ár+3

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Q: To construct the tangent to circle O, at point T on the circle, we construct a line perpendicular to…

A: To construct the tangent to circle O, at point T on the circle, we construct a line perpendicular to…

Q: ABCD is a square with side s. Three similar circles is inscribed in it with ED and FD is the common…

A: We use the Pythagorean theorem to find the length of the tangent from the common point to each of…

Q: Please explain in detail (step by step) how to construct this using Geogebra, thank you

A: Step 1:Solution: According to the given question, a triangle ABC is given for the required excircle.…

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: Find Ahe radius and interval of canergene for Ne sanes 3n+2 he

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Q: What is the following segment or line called? O a O b Tangent Secant

A: Use their definitions.

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: The lengths of the tangents from P(1, -1) and (3, 3) to a circle are √2 and √6, respectively. Then,…

A: Let the circle be x2+y2+2gx+2fy+c=0.Let the tangents from points P(1,-1), Q(3,3) and R(-1,-5) touch…

Q: 81 6.

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Q: 1.)  Two circles that are internally tangent have three common tangent lines. A. True     b.False…

A: Given problems:- 1.) Two circles that are internally tangent have three common tangent lines.   A.…

Q: On the bisector of the second and fourth quadrant determines a point p such that the sum of the…

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Q: Prove the equal tangent theorem: Let P be a point outside a circle C. Let A be a point on C such…

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Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Q: Suppose line L connects points Q and R and suppose point P is not on L. Let point S be the unique…

A: Answer: The solution is given below:

Q: Let point E lie in the exterior of OP. How many tangent lines can be constructed to OP from point E?

A: two tangent line can be drawn to a circle from a point E outside of the circle.

Q: 95 25

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Q: Show that = sin t if t>0 and C is the circle z] = 3. 2mi Jz+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: KS. (a) Give a tangent line. (b) Give a secant line. C (c) Give a chord. K H

A: (a)  Tangent to a circle is the line that touches the circle at only one point. From figure we can…