528 4. A circle C has equation x2 + y² - 4x + 2y = 40. Find the equations of the circles with centre (3, 1) which touch circle C. Find also the coordinates of the points of contact.

Q: 5. Write the general equation of the circle with center (5, 0) and radius 3v2. 6. Find the center…

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Q: 3. (а) Find the equation of the chord of the circle x + y 81 which is bisected at the point (-2, 3)…

A: 3. (a) Given equation of circle is                                                         x2+y2=81…

Q: Find the shortest distance from the point (1,2) to appoint on the circumference of the circle…

A: We have to find the shortest distance from the point (1,2) to appoint on the circumference of the…

Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

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Q: Determine the center and radius of a circle given that its equation is x² + 12x + y² - 6y = 4 Use…

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Q: 4- Find the center and radius of the circle: x² + y? + 4x – 6y – 3 = 0

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Q: What is standard form for the circle equation x² + y² – 16x – 2y – 16 ? 16х — 2у — 16 ? - = 0

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Q: 3. What is the length of the minor axis given by the equation + - (y-1) = 17 O 4 units O 2 units O…

A: To find the length of minor axis

Q: The equation of a circle is given below. (x + 9)2 + (y- 46)² = 123 What is its center?

A: Given:     The equation of a circle is x+92+y-462=123 ...(1)     Equation of circle is x-h2+y-k2=r2…

Q: Which point is the center of the circle 4x² + 4y2 = 4y – 8x +5 ?

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Q: Find the length of the common chord of the circles x2+y?=64 and x2+y2-16x=D0.

A: Given:    x2 + y2 = 64   x2 + y2 - 16x = 0

Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

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Q: 17. Use the diagram to write the standard equation of the circle. y 3. -3 -3 x2 + y? = 16 x2 + y? =…

A: Let's find.

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: Find center and radius of the circle. x^2 + y^2 + 4x - 6y + 13 = 0

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Q: 1. A circle has this equation. x² + y² + 4x – 10y = 7 What are the center and radius of the circle?…

A: To find the radius and center of the following circle  x2 + y2 + 4x - 10y = 7

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

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: Q4/ Find the center and the radius of the circle x² + y2 + 4x - 6y – 3 = 0

A: Find the centre and radius

Q: A circle has an area of A = 15.7 and a center of (3,-2). What is the standard form equation of this…

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Q: The diagram shows a quadrilateral inscribed in a circle with angles y and 2y. Solve for y. |2y

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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: -

A:

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Given, Midpoint of segment =7,-1  endpoint of segment = 6, 8   We have to find the other endpoint of…

Q: A circle has the equation x 2 + y 2 – 6x + 12y + 9 = 0. What is the distance from the center of the…

A: The general equation of a circle with center (a, b) and radius r is, x-a2+y-b2=r2. The distance of a…

Q: Find the center and the radius of the circle with the equation x2+12x+y2+6y−76=0 Enter the…

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Q: 3x? + 3y? – 30x – 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: - h =…

A: Given the equation of circle , need to find its centre and radius.

Q: 3) Find the equation of a circle which centered at (4,3) and touching another circle * x² + y? = 4

A: To find the equation of circle which centered at (4,3) and touches the another circle  x2+y2=4.…

Q: 7. The radius of the circle whose equation 2 + 6x +y – 6y – 7 = 0 is A) VF B) 49 C) 7

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Q: 3) What is the standard equation of the circle with a Center (-2,5) and a radius of 7? (x-h) ^2 +…

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Q: 1. Rewrite this equation to find the center and radius of the circle: x2 +6x +9+y? - 10y+25 = 64 2.…

A: Given, x ^ 2 + 6x + 9 + y ^ 2 - 10y + 25 = 64 Simplifying the above equation we have,…

Q: 62. Identify the center and radius of a circle with the equation x2 + y² – 2y – 8 = 0.

A: 62. The equation of the circle is given by x2+y2-2y-8 = 0 To evaluate : The center and the radius of…

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: 1. Find the center and radius of the circle x² + y? + 2x – 4y = 4 by completing the square.

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Q: The equation of circle C is (x+3)^2+(y-8)^236. What is its center (h.k)? *

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Q: 4. The equation of a circle is x2 + 14x + y2 -2y 14. What are the coordinates of the center and…

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Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

A: Consider the one end point and midpoint as (14, 16) and (15, 7).Let the other end point the line…

Q: How would I draw the circles to these points?

A: (1) It is known that, the standard form of the equation of a circle with the center at (0,0) is,x2 +…

Q: Recall that the standard form of the equation of a circle is (x - h)2 + (y - k)2 = r2. Thus, x2 + (y…

A: We know that standard equation of circle with center (h,k) and radius r is

Q: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: Find the center and radius of the circle:  (x-3)2+y2 =25

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Q: Find apolar equation for the circle x² + (y - 3)? = 9. 2

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Q: 45. What is the equation of the radical axis of the circles x +y² = 9 and x² +y² + 4x – 6y = 0? A)…

A: Given x² + y² = 9 & x² + y² + 4x - 6y = 0 To find equation of radical axis of circles:

Q: Find an equation of the perpendicular bisector of the segment AB with endpoints A(1, 2) and B(-3,…

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Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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Q: Write the equation general equation of the circle concentric with x2+y2+2x-4y=5, and radius is 8.

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Q: Q1/ Find the standard equation of circle if a diameter has end points (2,0) & (0, 2 ).

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Q: The equation of a circle C is given by x2 + y² = 9. Find the point on C that is closest to the point…

A: The equation of the given circle is: x2+y2=9 and the given point is -4,-2

Q: 45. What is the equation of the radical axis of the circles x? +y = 9 andx² +y + 4x – 6y = 0? A) 4x…

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Q: On which axis does the center of the circle x2 + y2 - 8y + 7 = 0 lie? Defend your answer.

A: We know, the equation of a circle in standard form is given by: (x-h)2+(y-k)2=r2 Where,(h,k) is…

Q: The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of…

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