Answer the following. Show your solutions properly. 1. The diameter of a circle is 18 units and its center is at (-3,8). What is the equation of the circle? 2. Write an equation of the circle with a radius of 6 units and is tangent to the line y = 1 at (10, 1).

Q: 36. Write an equation of the circle that is tangent to both axes with radius V11 and center in…

A: Let the center of the circle be x,y. The circle touches the x-axis at x,0 and y- axis at 0,y Since…

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

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Q: 4. Write an equation of the circle that is tangent to both axes with radius VI1 and center in…

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Q: Q5: The center of the circle ? is the point that divides the line from (1, −5) to (4,1) in the ratio…

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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: I. Sketch the figure and solve the following problems. 1. 2. Give the radius of equation of a…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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: 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: ecall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

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Q: 5. Write an equation of the line tangent to the circle x? + y? = 29 at (5, 2).

A: Topic - tangent to the circle

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

A:

Q: Recall the equation for a circle with center (h,k) & radius r. At what point in the first quadrant…

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Q: 7. The radius of the circle whose equation x + 6x + y – 6y – 7 = 0 is

A: Your answer Radius =5

Q: 1+lпx Y:

A: the given equation of the curve is: y=1+lnxx we have to solve and sketch the given curve.

Q: 1. What are the radius and center of the circle with the equation (x- 2)2 + (y- 3)²= 25? What is the…

A: To find the radius and center of the following circle (x - 2)2 + (y - 3)2 = 25

Q: Write an equation of the line tangent to the given circle at the given point. (x + 7)2 + (y – 9)2 =…

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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: x+3 y2 %3D 2x+3x+2 Solution/Answer:

A: Given-   y2=x+32x2+3x+2 To Trace- The curve of the above equation,.

Q: 2. What is the center and radius of this circle? (x+ 3)? + (y – 4)² = 36 3. Tommy wants to take the…

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Q: 4. Use the algebraic tests to check for symmetry with respect to both axes and the origin. x - y? =…

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Q: 1. Write the equation of the circle with the center at (1, -2) and radius equal to 6. 2. Write the…

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Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

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Q: 10. If the equation of a circle is (x- 3)* +(y+5) = 225 , find the center and radius.

A: Since, we have been given up the equation of circle (x-3)2+(y+5)2=225-(i)Our Aim is to find the…

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

Q: 25. Which of the following equations describe a circle on the coordinate plane with a radius of 4…

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

Q: 4. For a circle with the equation: (x-3)^2 + (y-5)^2 = 361, what is the length of its radius? O -6 О…

A: Let the radius of the circle be a and coordinate of the center be h,k . The general equation of the…

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

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Q: Find the equation of a circle with a center at (3,-1) and radius 5 units. O (x- 32 + (y - 12 - 25 O…

A: Solution is given as below:

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

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

Q: 2² + y? 14x + 10y + 10 = 0 is the equation of a circle with center (h, k) and radius r for:

A: Given : x2+y2-14x+10y+10 = 0

Q: Write the standard form of the equation of the circle with center (5, –7) and radius 5. O (x+5)? +v…

A: Center of the circle is (5,-7) Radius of the circle is 5

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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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: Suppose a circle is derived by the equation (x − 2)2 +(y + 4)2 =15^2. Identify the length of the…

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Q: I. Sketch the figure and solve the following problems. 3. Write the equation of the circle with…

A: Given Centre of Circle= (-3,9) and x- axis as tangent.   Dear Learner ,We Expert are following…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given:

Q: Find ? for which the line tangent to the parabola ? = 4? − ?^2 is horizontal

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Q: 2. Find the center and radius of the circle whose equation is (z – 10)² + (y – 12)² = 49 C(x, y) = (…

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Q: 3. For a circle with the equation: (x- 3)^2 + (y-5)^2 = 361, what is the length of its radius? *

A: Let's find length of circle radius = r = ?

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 the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

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

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Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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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: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given that the equation of line, y=0.5x+1…

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…

Q: What is an equation of a circle whose center is at (2, -4) and is tangent to the line x = -2? Select…

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