The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and radius:

Q: x + y - 18x + 10y +90 = 0 is the equation of a circle with center (h, k) and radius r for h = and-…

A: We have to find the radius

Q: Find the equation of the sphere having the circle x +y+ z2 = 9, x- 2y+ 2z = 5 as a great circle.

A: The solution is below.

Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

A:

Q: Write the equation of a circle, in general form (x² + y² + Bx + Cy + D = 0), centered at the point…

A: The question mentions that the circle is centered at the intersection of lines, 2x+y=-10x-2y=5 Now,…

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: In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at…

A: in the xy-plane a line that has the equation y=c for some constant c intersects a parabola at…

Q: 9. Find the center of the circle whose equation is x2 + y- 16x + 14y+ 104 = 0 O (7, – 10) O (4, – 4)…

A:

Q: 2+y 4x + 2y +1 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We use completing square method to convert it into standard equation of circle  Standard equation of…

Q: Find the equation of a line tangent to the circle x2 +y2 – 4x + 2y - 31 = 0 at the point (2,5). Draw…

A:

Q: Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

A: Solution is written in below steps.

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

A:

Q: A circle has an equation of y2 + 10y + (x − 2)2 = −9. Determine its general form, center and radius.

A:

Q: 1. Determine the center and the radius of the circle whose equation is given by x' +y° – 6x +2y+2 =…

A: The solution as follows :-

Q: 3x +3y-18x -30y +54 0 is the equation of a circle with center (h, k) and radiusr for=

A: To find the center and radius for the below equation of the circle. 3x2+3y2−18x−30y+54=0

Q: 3x +3y- 24x 30y + 96 = 0 is the equation of a circle with center (h, k) | and radius r for: h = and…

A: Given equation 3x2+3y2-24x-30y+96=0 The objective is to find the center and radius of a circle.

Q: 3x² + 3y² 6x6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k =…

A:

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

A:

Q: A circle whose equation is x2 + y2 + 4x + 6y – 23 = 0 has its center at ______.

A: Given equation,

Q: Find equations for two lines through the origin that are tangent to the ellipse a- 8x +y + 3 =0.

A: We are asked to find the equation of two lines that are tangent to the ellipse.

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: This is coordinate geometry problem

Q: Find the equation of the plane perpendicular to the y-axis and passing through the point (3,2,-2)

A:

Q: (2– 1)° + (y+ 3)² = 16- Which graph shows the circle whose equation is %3D

A: General form of equation of a circle with center (h, k) and radius r is,             (x—h)2 + (y—k)2…

Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

A:

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

A:

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: Sketch the graph of the equation x² + y² + 8 x + 10 y – 7 = 0 by first showing that it represents a…

A: The given of circle is x2+y2+8x+10y-7=0 We know that any equation of second degree…

Q: Find equations for the osculating circles of the parabola y=0.5x2 at the points (0,0) and (-1,1/2).

A:

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

A:

Q: 2) What is the standard equation of the circle with a Center (0,0) and a radius of 2.5? (x-h) ^2 +…

A: Given: The center of the circle as (0,0) and radius as 2.5. The objective is to find the equation of…

Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

Q: Q2. What is the equation of the circle whose center is (3,4) and tangent with (x-axis)

A: 2. Equation of circle with center at (a, b) and radius r is as follows. (x-a)2+(y-b)2=r2. Center of…

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 the…

A:

Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

A:

Q: True or False Every equation of the formx2 + y2 + ax + by + c = 0 has a circle as its graph.

A: The given statement is,  Every equation of the form x2+y2+ax+by+c=0 has a circle as its graph. To…

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

A:

Q: Find the points of intersection of the parabola with equation 2x + y² + 4y – 2 = 0 and the line…

A: Here we find the intersecting point of parabola and the line.

Q: Find the equation of the circle passes through the points (1.1) and (2,2) and the center of the…

A: Points where the circle passes : (1, 1) and (2, 2)       It's center passes through the line…

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: 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: 4. The graph of the equation (x- 1)² + (y – 2) = 9 is a circle with center (, -) and radius

A: Given: Graph of the equation (x-1)2+(y-2)2=9

Q: What is an equation of the circle whose center is (0,4) and whose radius is 3? A) x2+ (y- 4)2 = 9 B)…

A:

Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

Q: 1. Determine the center and the radius of the circle whose equation is given by x² + y² – 6x…

A: We have to find center

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

A:

Q: Is the graph of x2 + y2 = 0 a circle? If so, what is the length of a radius?

A: The standard form of the equation of the circle is (x-h)2+(y-k)2=r2. Here (h,k) is the center and r…

Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: Find the center and radius of the circle x2 + y2 + 4x = -2y +11. Sketch the circle. %3D ....-

A: Convert the equation of circle into standard form: (x-h)^2 + (y-k)^2 = r^2

Q: The equation of circle A is (x + 5)2 + (y - 1)2 = 9. What is the radius and center of circle A?

A: x+52+y-12=9⇒x--52+y-12=32 Now comparing with x-h2+y-k2=r2, we get h=-5,  k=1  &  r=3

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

A: