Find the equation of the circle circumscribing a triangle whose vertices are at (0, 0), (0, 5) and (3, 3). a. x2 + y2 – x – 5y = 0         b. x2 + y2 – x – 4y = 0     c. x2 + y2 – 2x – 3y = 0       d.  x2 + y2 – 2x – 6y = 0

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4,3), which of the…

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Q: Find the equation of the circle that touches the points (3, 4) and (5, 6).

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Q: The equation of the circle that is concentric with the circle x+2x+y²-8y+14=D0, and touches the…

A: Solution:-

Q: 18 What is the equation of a circle with radius 3 and center (3,0)? A x² +y? – 6x = 0 B. x? +y? + 6x…

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Q: Let P and Q be distinct points on the parabola y = 2r such that a circle with PQ as diameter passes…

A: The given equation of parabola y2=2x Let P and Q be points on the parabola  Parametric coordinates…

Q: find the center (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

Q: Calculate the equation of the circle that passes through the point (0, -3), whose radius is V5 and…

A: we know that equation of circle (x-h)2+(y-k)2=r2  Here radius of circle is 5 ,here circle passing…

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0

Q: 3x + 3y? – 12x 30y – 60 = 0 is the equation of a circle with center (h, k) and radius r for: | h =…

A: See the details solution below

Q: Find the equation of the circle with diameter AB if A(-3,2) and B(1,4). A x² + y² - 2x + 6y-31 = 0 B…

A: The equation of the circle with center (h,k) and radius r is given by        (x -h)2 + (y-k)2 = r2

Q: ind the equation of the radical axis of the circles x² + y2 - 18x - 14y + 121 = 0 and = + y - 6x +…

A: Topic:- geometry

Q: How far is the center of the circle x2 + y2 – 8x + 1 = 0 from the x-axis? a. 2      b.  0…

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Q: 5. Given the circles C: x² + y² – 6x – 4y +9 = 0 and C2:x² + y2 - 2x-6y +9 = 0, Find, (a) the…

A: The general equation of equation is By comparing the general equation of a circle  center…

Q: The equation of the circle that is concentric with the circle x? +2x+y²-8y+14=0, and touches the…

A: Given, equation of circle is x2+2x+y2-8y+14=0. To find the circle which is concentric with the given…

Q: 1. Find the equation of the circle whose center is (1,-1) and which passes through the center of the…

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Q: x + y? – 14x + 6y + 54 = 0 is the equation of a circle with center (h, k) and radius r for: %3D h =…

A: Lets find radius r  and  center(h,k).

Q: 48 Find the equation in standard form for the circle whose diameter has an endpoint at (3, -4) and…

A: We are given diameter of the circle has an endpoint at (3, -4) and (0, 0) We know equation of the…

Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

Q: What is the equation of a circle in general form with center at C(8, – 9) and tangent to the y- axis…

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Q: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

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Q: Find the distance between the centers of the two circles x2 + y2 – 4x – 4y + 4 = 0 and x2 + y2 – 4x…

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Q: Find b and c, given that the parabola y = x2 + bx + c passes through (0, 5) and (3, 23).

A: (0,5) means when x=0 then y=5. similarly, (3,23) means when x=3 , then y=23.

Q: 3x +3y- 24x 30y + 96 = 0 is the equation of a circle with center (h, k) | and radius r for: h = and…

A: Given equation 3x2+3y2-24x-30y+96=0 The objective is to find the center and radius of a circle.

Q: 3x² + 3y² 6x6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k =…

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Q: 2x² + 2y² + 8x + 4y + 2 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

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Q: x² + y² - 4х + 6у — 36 %3D 0

A: The standard form of equation of circle (X-h)2 + (Y-k)2 = r2 Where center of circle lies at (h,k)…

Q: Complete the derivation of the standard form of the equation of a circle with center (h, k). (x, y)…

A: To complete the derivation

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: This is coordinate geometry problem

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4, 3), which of the…

A: We will find the equation of circle as following.

Q: 3. Find the general form of the equation of each circle with a) Center at (0,0) and passing through…

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Q: 2x + 2y? + 20x + 4y + 20 = 0 is the equation of a circle with center (h, k) and radius r for: h and…

A: Given :  2x² + 2y² + 20x + 4y + 20 = 0 To find: center (h,k) and radius r?

Q: Find the center (h, k) and radius r of the circle with the given equation. 4x2 +4y2 - 12x + 16y - 5…

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Q: The equation of the circle that is concentric with the circle x2 +2x+y² – 8y+ 14=0, and touches the…

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Q: 2x2 + 2y? + 16x + 16y – 34 = 0 is the equation of a circle with center (h, k) and radius r for: -

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Q: What is the equation of circle in standard form? x²+4x+y²-6y=23 O A. (x-2)2+(y+3)²=6 O c…

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

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

A: Given that, ht=6t2-1t-3. To evaluate h-1, substitute t=-1 in the equation ht=6t2-1t-3 and simplify…

Q: Find the center (h,k) and radius, r, of the circle with the given equation.  x^2+y^2-18x+2y+82=16

A: Given equation of circle is Firstly, we will reduce the equation in standard form of equation of…

Q: x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by the line segment from…

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Q: 2x? + 2y? + 12x + 20y + 36 = 0 is the equation of a circle with center (h, k) and radius r for: h…

A: Circle center and radius

Q: 1. Find the equation of the center and radius of the circle: x² + y² + 4x - 8y- 5 = 0

A: Follow the procedure given below.

Q: Find the radius of the circle x2 + y2 - 6x + 4y – 36 = 0.

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Q: Find the equation of a circle with center (0, 0) and radius 4. A x2 + y2 = 4 C (x – 4)² + (y - 4)² =…

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Q: 1. (a) Show that the equation of the osculating circle to the parabola y = x? at the point (a, a?)…

A: Solution...

Q: Which is an equation for the circle? 4 -8 -6 -4 -2 0 2 -2 -6] O A. x2 + y2 + 8x + 4y + 3 = 0 O B. x2…

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Q: The center of a circle is at (6, -7) and the diameter of the circle is 22. Which of the following is…

A: Given data, Co-ordinates of center of the circle = ( 6, -7 ). Diameter of circle, d = 22 units.…

Q: The equation of the circle that is concEntric with the drcle x+2x+ y-8y+14=0 and touches the y-axis,…

A: The equation of the circle with centre at (a,b) and radius r is (x-a)2+(y-b)2=r2

Q: What is an equation of the circle whose center is (0,4) and whose radius is 3? A) x2+ (y- 4)2 = 9 B)…

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Q: The equation of the circle with (-3,11) and (3,-13) as endpoints of the diameter A. (x + 1)2 + y² =…

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Q: 3x² + 3y² – 24x − 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h =…

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Q: The equation of the circle whose center lies in the first quadrant on the straight line y=2x, passes…

A: Given, A circle whose center lies in the 1st quadrant on the straight line y=2x, passes through the…