_8. Write the equation of the circle with a diameter with endpoints (6, 12) and (16, –8). A. (x – 11)² + (y – 6)² = 125 B. (x – 11)? + (y – 2)? = 125 C. (x – 11)² + (y + 6)² = 11.2 D. (x – 11)2 + (y – 2)² = 11.2

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: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: Which equation represents a circle with center (-4, 9) and radius 7? 1.(x+4)^2 + (y-9)^2 = 7…

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

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: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

Q: [19] Find the center and the radius of the circle x + y – 8x+ 2y+13= 0. Work:

A:

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

A: Standard equation of a circle with center at A=(−1,4) passing throught the point B =(3,2)   Find…

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: (b): §. (x* – 2y³)dx + (2x³ – y*) dy, where C is the circle x² + y² = 4.

A:

Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

A:

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 9. With…

A: To find the equation of the circle in general form that satisfies the given condition.With center on…

Q: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

A:

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

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: Find the radius of the circle x2 + y2 – 6y = 0.

A:

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: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10

A: A tangent to a circle is perpendicular to the radius vector on the point of contact. To find the…

Q: Find the equation of the circle tangent to the line 3x – 4y + 6 = 0 at (2, 3) and passing through…

A: equation of circle

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

A:

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y - 10 = 0.…

A: Circle equation

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: Find equation of the circle (in general form) that satisifes the given condition: With center on…

A: find the equation of circle using given information.

Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

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: 4 Find a. the equations of the tangents to the circle x +y + 4x – 2y – 24 = 0 at the points where…

A:

Q: 3. If y = 7x cuts the circle x² + y² = 50 at A and B. Find the coordinates of A and B. %3D %3D

A:

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: 3a? + 3y? – 18z – 24y + 48 = 0 is the equation of a circle with center (h, k) and radius r for: h…

A:

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

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: 29.Consider the circle (x + 1)² + (y – 3)² = 116. Find an equation for the tangent line drawn to the…

A: Since you have asked multiple unrelated questions in a single request we would be answering only the…

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 the equation of the circle tangent to the line 3x- 4y+ 6 = 0 at (2,3) and passing through (-1,…

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: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

A:

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

A:

Q: 17) Write the equation of a circle with a center at (7,3) that contains the point (-5,8). A)…

A: The answer is found in step-2.

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

Q: ont 9. x2 + y2 – 2x + 10y +1 = 0 10. x2 + y2 -6y - 4 0

A:

Q: ind the equation of a line tangent to the circle x2 + y2 - 8x -14y + 52 = 0 at point (7,5) a.…

A: we have the equation of circle is  x2+y2-8x-14y+52=0  .........(1) differentiate with respect to x

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

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: 2. Find the equation (in general form) of the tangent lines to the circle x² + y² - 8x + 10y = 128…

A: