Choose two interesting and original integers a and b, as well as an interesting positive integer r. (a) What is the equation of a circle with center (a, b) and radius r? (b) If the circle in (a) has any x−intercepts, find them.

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A: Using co-ordinate geometry and pythagoras theorem,we can identify all required integral points.

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Q: "What is the families of the curve of all Parabolas with axis parallel to the x-axis

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A: Given: Center=(2,2) Passes through the point (5,7)

Q: 3 2 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 -6 Find the equation of the circle (x + 2)² + (y – 1)² =…

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Q: 4. Find the radius of this circle. -3- 2- 1- -8 -7 -6 -5 -4 -3 -2 -1 0 -1- O 6V5 O 2v2 O 3/2 O v2 5

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A: Given query is to find the equation of the circle in stany and general form.

Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

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A: Given Information:A parabola has axis parallel to the x-axis.Latus rectum at -154 , 32Vertex at (-1,…

Q: 3. Prove that points (5, 1), (2, -2), and (-1, –3) lie on a circle centred at (-2, 5). What is the…

A: Please rate and feel free to ask any query about any part.

Q: 2. The circle, if the center of the circle of radius 3 lies on the line x + 2y = 4 and it is tangent…

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A: Answer

Q: find distance between the following points (-1,3) and (4,8)

A: We can find the distance between the two points as below.

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Q: b) What goes wrong if you try to apply the same procedure to find all the points on the circle r? +…

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

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A: Given y = x2+2y = 11

Q: 3. Use the distance formula to prove that the point (4,2) is on the parabola x = Sy. Prenared hu

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Q: Find all points with integer coordinates located at a distance of 3 from the origin.

A: we have to find all points with integer coordinates at a distance of 3 from the origin. Let P(x,y)…

Q: Another constraint you can use to compute cubic splines is that the second derivatives of adjoining…

A: Consider the cubic polynomial  fx=⋮ai-1x3+bi-1x2+ci-1x+di-1, x∈(xi-1,xi]aix3+bix2+cix+di…

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

Q: Concentric with the circle x ^ 2 + y ^ 2 - 4x + 6y - 17 = 0 and 3x - 4y + 7 = 0 equation of the…

A: Solution:- x2+y2-4x+6y-17=0 x2-4x+6y+y2=17 x2-4x+4+6y+y2+9=17+4+9 x-22+y+32=30 Center of circle (2,…

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Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

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Q: There are exactly two values of y that make the points A = (0, 1), B = (4, – 10) and C = (-15, y)…

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Q: Find the other end of the diameter of the circle x2+y2-8x-8y+27=0. if one end of it is (2,3)

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Q: 4. What is the family of curves for all parabolas with axes parallel to the y-axis. Add File

A: We will find out the required solution.

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Q: 2. Families of circles whose center lies on the y-axis. at y-ayis

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Q: -8 A circle is centered at (2,-2) with diameter equal to 10 -거 Graph 4 points on the circle. 5-…

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A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: B. Determine the coordinates of point P(8) by referring to the special points on the unit circle.…

A: we have to find the value of P-29π6 using the special points on the unit circle

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A: First draw the situation roughly

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A: Topic = circle

Q: Find the coordinates of the point at -90degrees on a circle of radius 4.9 centered at the origin.…

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