In each of the following, find the equation of the circle (in center-radius form) satisfying the given conditions. Write your answers in the second column of the table and your solutions below it. Equation Conditions 1. Endpoints of a diameter at (-1,-5) and (4, -6) 2. Center at (0, 1) and containing the point (2, 3) 3. Center at (-3,-4) and tangent to the line 3x + 4y + 5 = 0

Q: Write the equation of the circle with center at   (4, 3) and touching the line 3x + y = –15.

A: Given that, the circle with center at 4,3 and touching the line 3x+y=-15.   The objective is to…

Q: Find the equation of the circle that Passes through the points A(2/ 3) B(-4/ 3) and c(3/2)

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Q: Give the equation of the circle in standard form with center at (-3,-4) and radius 8 units

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Q: Which of the following points lies on the circle (x-2)2 + (y-3)2 5? Select one: a. (3,5) b. (5, 3)…

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Q: 1. (x - 2) 2 + (y - 4) 2 = 36 %3D

A: You are asked multiple questions. As per the guideline I can solve only one. Please repost others.

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: Suppose A6 , 1  and  B-2 ,3 be the endpoints of the diameter, O be the center and r be the radius of…

Q: At what value of x does the function below have a maximum value? f(x)=2x³ + 36 x² + 48 x

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Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Determine the center and radius of a circle whose equation is x² + y² + 8x - 6y - 24 = 0.

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