Write the equation in standard form for the circle passing through (0, centered at the origin. (0)

Q: Find the standard form of the equation of a circle with center (-1,1) and radius v2. Graph the…

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Q: The center of a circle lies on the line y = 6x + 2 and is tangent to the x-axis at (-2,0). What is…

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Q: Find the equation of the circle in standard form centered at (1, 4) passing through the point (5,…

A: Standard form of a circle:

Q: 3. Write an equation for the circle centered at (4,-3) that passes through the point (-1, 7).

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Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

Q: Give the simplified general form equation for the circle with center (3, -5) and radius 2.

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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: What is the equation of the circle passing through the points (2,1), (0,5), and (-1,2)?

A: Solved below

Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: Write the standard form of the equation of the circle with the graph shown to the right. Ay What is…

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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: What is the equation of a circle with center (3,5) and tangent to the x-axis? (Put a zero if the…

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Q: Find the equation of the circle with center (- 6,0) and radius r = = Vĩ.

A: Find the equation of circle with center (-6,0) and radius r=7

Q: 5. Write the standard form of the equation of the circle with the center at (-2,9) and passing…

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

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Q: Write the equation in standard form for the circle with center (-3, 0) passing through 6

A: First find the radius of the circle using distance formula than write the equation.

Q: Write the equation of the circle centered at (- 10, 4) with radius 1.

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Q: Write the equation in standard form for the circle passing through (-4, 15 centered at the 2 origin.…

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Q: Give the equation of the circle centered at the origin and passing through the point (-5, 0). OP

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Q: Write the equation in standard form for the circle passing through (-11, 0) centered at the origin.

A: Standard form of equation of circle is x-h2+y-k2=r2where h,k are coordinates of center and r is…

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: Write the equation of a circle with: 1. Center at the origin and radius 10

A: 1) It is given that centre of a circle is at the origin and radius is 10 unit. We have to find the…

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: Write the equation of the circle centered at (2, -3)and passing through the point (1, 1).

A: We have to write the equation of circle centered at 2, -3 and passing through the point 1, 1. We…

Q: Write the equation of the circle centered at (0,-3) with radius 10/3.

A: To determine : The equation of circle centered at (0,-3) with radius 10/3.

Q: Write the equation in standard form for the circle with radius 4 centered at the origin. x² + y² =…

A: Use the standard formula for the equation of circle when centre and radius are given.

Q: Find the equation of the circle (in standard form) if the center is (1,-3) and passing through the…

A: Given, Centre (h,k)= (1,-3) Passing through point (a,b)=(4,1)

Q: Write the equation of the circle centered at (5,1) with radius 20.

A: Given, Center = (5, 1) Radius = 20

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

A: From the figure, The points of the circle are listed below. Ax1, y1=A0, 3Bx2, y2=B3, 0Cx3, y3=C6,…

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

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Q: Write the equation of the circle centered at (- 10, 0) with radius 5.

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Q: Write the equation of the circle centered at ( – 2, 1) with radius 18.

A: Equation of a circle centered at (a, b) with radius 'r' is (x-a)2+(y-b)2=r2.

Q: Write the standard form of the equation of the circle with its center at (-6,0), and a radius of 4.…

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Q: Write the equation of the circle centered at (0,−6) with radius 17.

A: The standard form of equation of a circle is given as, where, h,k are the points where centre is…

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: Explain how to transform the equation of the circle from one form to another. Give an example.

A: We have generally two forms of equation of a circle. They are, 1) standard form            (x—h)² +…

Q: Find the equation of the circle with radius 3 and center (2, −5).

A: Equation of circle with center= (h,k) and radius = r is given by

Q: Find the equation of the circle with center (- 6, 0) and radius r = √7.

A: Since, an equation of circle with center (h,k) and raddius r is given by:-(x-h)2+(y-k)2=r2  -(i)

Q: The circle x²+y²=9 has its center at the origin? True or false?

A: x²+y²=9

Q: Find an equation of a line tangent the circle

A: In this question, we need to find the parameterization of the curve and then find the tangent vector…

Q: Find the equation of the circle passing through this point (5,1), (3,-1) with the centre on the…

A: Consider that the circle passes through point (5,1) and (3,-1) with center on y-axis.   The equation…

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: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

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Q: Write the standard form of the equation of the circle with center (0, 0) and radius 4.

A: Write the standard form of the equation of the circle with center (0, 0) and radius 4.

Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: Given: f(x)=arctanx x0=1.

Q: Write an equation for the circle in both standard form and general form with center (-2,-3) and…

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Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…

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Q: Write the equation of the circle at (4,6) with radius 18

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.