Consider the circle centered at the origin and passing through the point (a) Give the equation of the circle. (b) For each point, decide whether or not it is on the circle. Is the point on the circle? (x, v) Yes No (/3.1) (4. 0) (-1, 3) (0, –1) O00 O

Q: The equation of a circle is (x –2)²+(y +6)² =100. externally tangent internally tangent circles…

A: topic - equation of a circle

Q: e standard form of the equation of the circle described below. nter (-2,4), r = 4 ndard form of the…

A: Our Aim is to write the standard form of the equation of the circlewith given that Center (-2,4) and…

Q: Tollowing equation 2 7 49 + (у — 1)? з - 1)? 16 Step 3 of 3: Find three points that lie on the…

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Q: The points A(5, -7) and B(6, 0) lie on a circle, with centre C. Given that the point C lics on the…

A: Equation of the circle with centre (h,k) is   (x-h)2+(y-k)2=r2          .....................(1)…

Q: Find the equation of the circle. Express the equation in standard form. Ay ..... 30 The equation of…

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Q: II. A. Find the equation of the circle satisfying the given properties. 1. Center at origin, radius…

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Q: -61 Exploration Part 3: What if the radius changed? What would the equation of this circle look…

A: We can see this in graph that the center of circle is located on origin (0,0). And radius=6 Equation…

Q: 1. Find the equation of the circle with center (2, 0) and radius 5. 2. Find the radius and…

A: use the standard equation of a circle to find the center and radius.

Q: Write the standard form of the equation and the general form of the equation of the circle of radius…

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Q: ine the equation of the circle graphed below. 30 4. 10 -4 -6 -8 +10 8. 6.

A: We need to determine the equation of circle given in the graph.

Q: b. In the circle whose equation x2 + y2 = 49, a chord is perpendicular to a diameter at the point…

A: Length of the chord is 2

Q: ne radius of a circle defined by the equation x- 6x + 3.46 5.0 6.0 7.0

A: Radius of the circle

Q: The diameter of a circular fountain in a city park is 28 feet. A sidewalk that is 3.5 feet will be…

A: A = approximately 17.5 a stranger need to travel  from the sidewalk to reach the middle .

Q: (x-y)2 + (y-3)2 = 72 which point ties on the circle represent by the above equations

A: Consider the given equation. (x-y)2+(y-3)2=72                 ……(a)

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: The statement given is ,  The equation of the circle whose centre is at the origin with radius 16 is…

Q: the center and radius of the circle with the equation (x- 1)2 + (y e equation of a circle with…

A: Solution: The objective is to find the center and radius of a circle

Q: drawn to the circle (x – 1)² + y? = 2 1. Find the equation of the locus of the middle points of…

A: Introduction :

Q: I need to find the radius and center of the circle with the given equations. Can you please help me?…

A: Given the equations: (a)   (x + 5)2+ (y - 6)2  = 81 (b)   (x + 2)2+ y2 = 41

Q: Q 3. Find the equation of (i) A circle passing through the points (2, 1), (0, 2) and (1,0).

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Q: standard form of the equation for the circle with the following properties. (1,7) Center ( 1, and…

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Q: Solve the following problems: a. Write the euation of the circle in general form with center at…

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Q: 0,5 X3 -1.5x +0175 = iX =0, 558→ X= 0.56 Y - 1-324 %3D

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Q: The point P(7,-14) lies on the circle with equation x² + y² + 6x - 14y = 483. The point Q also lies…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: htre of the circle x +y -4x-2y-3 = 0. Find

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Q: Find the standard form for the equation of a circle (x – h)² + (y – k)² = r² with a diameter that…

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Q: 4. While you are still at the station, you notice that each camp is visible on your vehicle's radar…

A: Camp coordinates: (3,3) (6,8) and (1.10) Mid points: (1.5,1.5) (4.5,5.5) (3.5,9) and (0.5,5)  We…

Q: Find the equation of the circle. Express the equation in standard form. 30 The equation of circle is…

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Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y? – 8x - 6y…

A: standard equation of circle (X-h)2 +(Y-k)2 = r2 center (h,k) , radius = r    Here circles touches…

Q: (a) Find the equation of the circle that has center (-5, -3) and is tangent to the line 2x + 3y = 5.…

A: We have to find both

Q: ost Test 4. Find the equation of the circle. +++++ (r-1)° + (y+ 5)° - 16 C. (*+1)* + (y-5)° - 16 С.…

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Q: equation of the following circles: b.

A: In Maths or Geometry, a circle is a special kind of ellipse in which the eccentricity is zero and…

Q: A circle as an equation of X2+Y2+2KY3D0. Find the value of K when the length of the tangent from…

A: Given equation of circle x2+y2+2ky=0and point  P (5,4) length of tangent  is  1

Q: B) Find the equation of the circle with the given center c and radius a then sketch the circle in…

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Q: Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: Find the equation of a circle whose center is at (3, 3) and tangent to the circle x² + y? - 6x - 8y…

A: Given circle is: x2+y2-6x-8y+16=0Centre of required circle is at: (3,3)

Q: Find the equation of (i) A circle passing through the points (2, 1), (0, 2) and (1,0).

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Q: 6. The equation of a circle is given below. Identify the center and the rac 2 t-6x+4y- 12=0 Center:…

A: our objective is to find the centre and radius.

Q: (3 marks) Find the equation of a circle whose center is at (3, 3) and tangent to the circle x? + y?…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: V3 2 Is on the unit circle, what Is x? If the point O A. V3 O B. V3 O D. V3 2

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Q: Q4: An equation for the circle with the given center C(-3, 0) and radius a = 3 is x^2 + 6x + y^2 = 0…

A: Given Center of circle (-3,0)Radius(r)=3The standard equation of the circle can be written as…

Q: Given a circle x²+y² +x+y-4 =0, a. Find the equation of the tangent to the circle at the point…

A: Given: x2+y2+x+y−4=0 Slope of tangent to the circle at point (1,1) will be given by the value of…

Q: The point (-1,0) lies on the circle x2+y2-4x+8y+k=0 . Find the radius of the circle.

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Q: Directions: In each item, give the standard equation of the circle satisfying the given conditions.…

A: The standard equation of circle is  x-a2+(y-b)2=r2,   where (a, b) is the centre of the  circle and…

Q: (b) Find an equation of the circle that lies in the first quadrant, tangent to both x - axis and y-…

A: Solution is given below:

Q: 3. The circle C, with centre at the point A, has equation x2 +y2 - 10x +9 = 0. Find (a) The…

A: Use the standard equation of circle to solve this problem.

Q: Rewirte the equation of this circle in standard form: x2 - 6x + y2 - 10y - 32 = 0 Answer this:…

A: We are given an equation of a circle. First, we have to rewrite the equation in standard form. After…

Q: Write the standard form of the equation and the general form of the equation of the circle with…

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Q: A circle as an equation of x²+y²+2ky=0. Find the value of K when the length of the tangent from…

A: Equation of the circle :      x-h2 + y-k2 =r2 ; where , (h,k) is the center and 'r' is the radius.

Q: -4 3. -1 te Which equation best represents circle A? (x-2)2+(y-1)2=3 (x-2)2+(y-1)2 12 (x+2)2+(y-1)2=…

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Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.