The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the circle in exactly one point, what is a possible value of k?

Q: What will be the axis of symmetry, the line about which a figure or curve is upon itself, between…

A: Given :   y=4x-2

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4,3), which of the…

A:

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

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

A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

Q: A circle in the xy- plane has equation (x – 2)2 + (y + 5)2 = 36. %3D Which of the following points…

A:

Q: x^2+y^2−16x+14y+ 97= 0 is the equation of a circle with center (h,k) and radius r for: h= and k=…

A: Solution is done in step 2

Q: Calculate the equation of the circle that passes through the point (0, -3), whose radius is V5 and…

A: we know that equation of circle (x-h)2+(y-k)2=r2  Here radius of circle is 5 ,here circle passing…

Q: * the lines 2x 3y 1 0 and 3x y 4 0 ie along diameters of a circle of circumference 10 n, then the…

A: The equation of a circle centered at h,k is x-h2+(y-k)2=r2 , where, r is the radius. If the radius…

Q: Find an equation of the circle with center at (– 5, – 5) that is tangent to the y-axis in the form…

A:

Q: 3x + 3y? – 12x 30y – 60 = 0 is the equation of a circle with center (h, k) and radius r for: | h =…

A: See the details solution below

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

A:

Q: 10. Find the center and radius of the circle whose equation is x² + 5x + y² – 6y + 12 = 0. A.…

A: To find The center and radius of the circle.

Q: Find an equation of the line which is tangent to the circle z + y - 4x + 6y – 12 = 0 at the point…

A:

Q: 2* + y – 10x+ 18y – 90 = 0 is the equation of a circle with center (h, k) and radius r for:

A: The given equation of a circle x2+y2-10x+18y-90=0 Completing the squares…

Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

Q: N and O are two points in the xy-plane. If their coordinates are N (3, 6) and O(5, 9) which of the…

A: We have to find the equation of the circle. In this problem first we will find the center and then…

Q: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

A:

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: How far from the y-axis is the center of the curve 2x2 + 2 y² + 10x – 6y – 55 = 0? %3D 2.50

A:

Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: 2x² + 2y² + 8x + 4y + 2 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A:

Q: Which of the following equations describes a circle with radius 10 that passes through the origin…

A: Given : Equations of circle : A) (x - 5)2 + (y + 5)2 = 10 B) (x - 5)2 + (y + 5)2 = 100 C) (x -…

Q: x + y – 14x + 14y +94 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k…

A: Given x2+y2-14x+14y+94=0

Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4, 3), which of the…

A: We will find the equation of circle as following.

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

A:

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

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

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

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

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

A:

Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

A:

Q: x2+y2−2x+2y+1=0 is the equation of a circle with center (h,k)(h,k) and radius rr for: h=h=   and…

A: We will solve the given equation in form of (x-h)2 + (y-k)2 = r2

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

A:

Q: Find for the equation of a circle with center at (-1, 4) and passes through the point (3. 2).…

A:

Q: The general equation of the circle that passes through the points (-3,4), (2,–6), and (5,0) is x2 +…

A: Given: Let us consider the given general equation of the circle, x2+y2+Dx+Ey+F=0 and the circle…

Q: Find the equation of the circle, if the center of the circle of radius 3 lies on the line x + 2y = 4…

A: Let the center of the circle is (h, k). If its center passing through the line x + 2y = 4, then h+…

Q: 10. The radius of the circle with equation x² +y² – 10x + 12y + 41 = 0 is A 5V2 B 3V5 с 25 D 4V5

A:

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

Q: Find an equation for the set of points equidistant from the y-axis and the plane z = 6.

A: we  have to find an  equation for the set of points equidistant from the y-axis and the plane z =…

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

A:

Q: The equation of the circle that is concEntric with the drcle x+2x+ y-8y+14=0 and touches the y-axis,…

A: The equation of the circle with centre at (a,b) and radius r is (x-a)2+(y-b)2=r2

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: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: 3x² + 3y² – 24x − 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h =…

A:

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 lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

A:

Q: 2x + 2y + 16x + 4y+ 26 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: We will find  the center of the circle (h,k )and radius (r) in the following step.

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…