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: 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: 2x +3K Zx2 - 4x + 13

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

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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: 3. Solve for x. 20 7x+2 18 6x+3

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Q: Let A, B and C be three points in a n. g. lying on a circle with center D. Show that: if D is in…

A: Saccheri theorem states that the sum of angles of a triangle is atmost 180°.

Q: 1 € /₁ (2² + 1)2 dz. Let C be the circle |zi| = 1. Evaluate

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Q: 3. 8.5 W 20

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

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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: If a circle passes through the point (0,0),(a,0) and (0,6), then find its center.

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Q: AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of…

A: Given in a circle of radius r, there are two chords AB and AC such that AB=2AC. Also, the distance…

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: Determine the area of the triangle formed by the following lines (can assume a > 0).

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Q: find the length of the arl 30 rse from f=0 to 0 =2

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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…