The equation of a circle is x2 +(y-4)2 9. Identify a point on the circle and explain how you found it. BIU E E X, x'

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: d radius for the equation of the circle (x-8)2+(y+1)2=81

A: Given the equation of a circle: x-82+y+12=81 Now, The standard form of the circle equation is:…

Q: What is the equation of a circle with center (-2, 2) and radius 3? Y+ (y+ %3D (X +

A: Given a circle with center -2,2 and radius 3. To find the equation of a circle. Solution: The…

Q: Find the equation of the circle whose centre is at the point (1, -1) and which passes through the…

A: Given : circle whose center is at the point 1, -1 which passes through the point 4, 3 To find :…

Q: Find a. the equations of the tangents to the circle x' +y +4x-2y- 24 = 0 at the points where the…

A: Here we have to solve two parts .    (a) We need to find the equations of the tangents to the circle…

Q: Find the exact length of the curve. y = 2 + 2x3/2, 0sx<1 Need Help? Watch It

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Q: Find the equation of the circle that passes through (1, 0) and (0, 1) and is tangent to the x-

A: Here we have to find the equation of the circle that passes through (1, 0) and (0, 1) and istangent…

Q: What is the equation of the circle with center at (4, -5) and a point on the circle at (4, -2)? What…

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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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: Suppose you have a circle with center (h, k) and radius r. Write an equation that would allow you to…

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Q: Find the standard form of the equation of the circle with center (- 5,4) and tangent to the line y=…

A: Solution :-

Q: Find the standard form of the equation of the circle with center (- 5,5) and tangent to the line y =…

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Q: The equation of a circle in general form is +y² – 4x+5y-3=0. What are the coordinates of the center…

A: We can find the center and radius of the circle as below  by comparing them with the general…

Q: Find the points that touch the x axis of curve v = u2 + pu (n+1). Where n = 744. Also find the…

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Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Find the standard form of the equation of the circle with center (- 5,3) and tangent to the line y =…

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Q: Find the center-radius form of the equation of the circle. 21) center (-/3, -7), radius 3 A) (x -…

A: Here we will find the equation of circle in centre-radius form,

Q: A7: What is the equation of the circle with center (3, –1) and radius 5?

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Q: Find the equation x² + y? + Dx + Ey + F = 0 of the circle that passes through the points. To verify…

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Q: The graph of x +y = 225 is a circle having center at the origin and radius 15. %3D a. Write the…

A: Given:- The graph of x² + y² = 225 is a circle having center at the origin and radius 15. To find:-…

Q: 4. An equation of a circle written in the form x + y + Ax + By + C = 0 is called the equation of a…

A: Given, An equation of a circle written in the form x2+y2+Ax+By+C=0 is called the _________ form of…

Q: 4) Rewrite the equation of this circle in standard form. Identify the center and the radius. x2 +…

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Q: What is the standard form equation of a circle and what other equation(s) is it derived from?

A: For the solution follow the next step.

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: 26. Find the center and radius of the circle whose equation is x2 + y + 14x + 6y = -54 C(x, y) = (

A: Concept - (x-h)^2  + (y-k)^2 =r^2  Here -(h,k) is the center of circle And r is the radius

Q: Find the equation for the circle centered at point M (-2,3) and tangent to the line 20x -21y -42 = 0

A: We will find the radius of circle.

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

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Q: 4 Find a. the equations of the tangents to the circle x + y? +4x-2y-24 = 0 at the points where the…

A: 4(a). The given equation of circle is: x2+y2+4x-2y-24=0

Q: How is the standard form of a circle’s equation obtained from its general form? Explain.

A: The standard equation of the circle is of the form x-h2+y-k2 =r2 where h,k is the center and r is…

Q: 2) Given the circle x2 +y = 25 and point P (x,y,) on the circle, find the equation of the line in…

A: We have to find equation of line in slope- intercept form:

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: What is the equation of the circle that has radius of 2 and centre at (-1,3)? A. (x+1) + (y – 3)² =…

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Q: Find the equation of the circle with center 2+31 and radius4 units. (A) (x-2) +(y-3) =4 (C) (x-2)…

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Q: 4. Write the equation for a circle tangent to the y-axis and with center (5, 6). It may be helpful…

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Q: x + y - 16x + 18y + 109 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

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Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

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

A: We have to find the equation of circle in standard form.

Q: At what point in the first quadrant does the line with equation y=2.5x+4 intersect the circle with…

A: We will solve graphically as nothing is specified. We have that the radius of the circle is 5 and…

Q: te the equation of the circle centered at (−10,0)with radius 14.

A: Write the equation of the circle centered at (−10,0)with radius 14.

Q: The equation of a circle can be represented as in-h)² + (y – k)² = r², where (h. k)ie center of the…

A: Substitute h,k and r in the equation, x-h2+(y-k)2=r2 and solve for y to yield the result.

Q: How would I write the equation of this circle. I understand that the center point is (2,-3), but I…

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

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Q: Vrite the equation of the circle centered at ( 3, 3) with radius 10.

A: Given: Center=(-3,3)    Radius =10.

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: 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: What is the equation of a circle with center (2, 4) and radius 5? A. (x- 2)2 + (y - 4)² = 5 B. (x+…

A: The standard form of equation of circle is given below: x-h2+y-k2=r2 where, h,k is the coordinates…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.