Consider the circle centered at the origin with radius 3. (a) Give the equation of the circle. D=0 (b) For each point, decide whether or not it is on the circle. Is the point on the circle? (x, y) Yes No (-2, 0) (0. 3) (-2, /5) (5.2) OOO

Q: 1. How will you determine the center and radius given the equation of the circle  in general form?

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Q: True False An equation for the circle with the given center C(-3, 3) and radius a = %3D 4 is x^2 +…

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Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

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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: 6. Find the equation of a circle that has a diameter with the endpoints given by

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Q: Find equation of the circle ( in general form ) that satisfies the given condition. 11. Equation of…

A: This question is based on conic section.

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…

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Q: true or false?  The circle with center at the origin and radius of 1 has equation x^2-y^2=1

A: Given:

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

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Q: What is the equation of the circle whose center is at (0,0) and which passes through the point…

A: Let A(x1,y1) and B(x2,y2) be the coordinates of eand points of line segment AB.Then, Length of AB =…

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: Find the equation of the circle that passes through the origin and has its center at (0, 4).

A: The standard equation of the circle is x-h2+y-k2=r2, where h,k is the center of the circle and r is…

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: The statement given is ,  The equation of the circle whose centre is at the origin with radius 16 is…

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

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Q: find the standard equation of the circle 1. concentric with x^2+y+2-6x-4y=36, radius 5 identify…

A: Recall: Equation of the circle : x2+y2+2gx+2fy+c=0 ; where (-g,-f) is the center (x-h)2+(y-k)2=r2;…

Q: The center of the circle is located at the x- axis at x=4. If the circle is tangent to the y-axis,…

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find equation of the circle (in general form) that satisfies the given condition: Equation of the…

A: Circle

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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: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

A: Given query is to find the equation of the circle.

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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…

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Q: 0,5 X3 -1.5x +0175 = iX =0, 558→ X= 0.56 Y - 1-324 %3D

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Q: The figure shows a fixed circle C1, with equation (x-1)2 + y2 =1 and a shrinking circle c, with…

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Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

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Q: 6a. What is the center point of the circle from the equation below? (x + 2)² + (y - 4)² = 36 6b.…

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Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

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Q: 7. Show that: x² + 8x + y2 – 10y - 8 = 0 is the equation of a circle. What is the center of this…

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Q: What are the points of intersection between the graphs of the circle and parabola? x² + y? = 37 x² =…

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A: We have to find the equation of circle in standard form.

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A: Substitute h,k and r in the equation, x-h2+(y-k)2=r2 and solve for y to yield the result.

Q: B. Find the equation of the circle (in standard form) defined by the fol 6. endpoints of the…

A: As per our guidelines we are supposed to answer only 3 sub-part of the question

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)…

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Q: 3. equation of a circle with Center C(15, – 25) and radius r = 16.

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Q: The point (-1,0) lies on the circle x2+y2-4x+8y+k=0 . Find the radius of the circle.

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Q: (b) Find an equation of the circle that lies in the first quadrant, tangent to both x - axis and y-…

A: Solution is given below:

Q: Find the equation of the circle of radius 3 with its center at the origin. 35. [A] x² +y² = 9 [B] x²…

A: The standard equation of the circle is: x-h2+y-k2=r2, where h,k and r is radius. We have given a…

Q: Show your soluions Change this general form into standard equation and find its center of the circle…

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Q: Find the center and radius of the circle x2+y2−6x+4y−3=0. Then graph the circle.

A: Consider the general form for the equation of the circle.

Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.

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

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.