Sketch the graph of the circle whose equation is ( x + 1)' + (y-2) 81. . 3. What is the distance from point ( 0, 1) to point (- 8, 9)?

Q: 7. Is the point (-4, 7) on the circle defined by (x + 1) + (y – 3)? = 25?

A: We have to say that the given point -4, 7 on the circle or not: x+12+y-32=25 In this case we just…

Q: Describe how to determine and find the equation of a circle with center on the line y = 0.5x + 3…

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Q: 6. Is the point (3, 5) on the circle defined by (x – 3) + (y – 5)? = 36? |

A: An equation is a statement that consists of equal symbol between two algebraic expressions that have…

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 6.…

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Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

Q: How do you find a tangent line of a circle Equation: (x - 3)2 + (y - 5)2 = 5 Point: (4,7)

A: solution:- Given                x-32+y-52=5                 point  4,7The above lies on the…

Q: A circle with radius 5 has its center at origin. What is the equation of the tangent line to the…

A: The equation of a circle centered at and has a radius r is defined by the equation, . The slope of…

Q: Find the point in the first quadrant where the line y=4x intersects a circle of radius 5 centered at…

A: Equation of circle : x-h2 + y-k2 = r2 ; where (h,k) is center and 'r' is the radius .

Q: Write the equation of the circle centered at (4, 2) with radius 18. --

A: Given, center(4,-2) radius =18 what is equation of circle

Q: The point (5,12) lies the circle centered at the origin with radius 13. on inside outside

A: We can use the concept of circle in order to solve the given problem .

Q: Show that the circle can be drawn touching line 3x+y-6 =0 at (3,3) and touching the line 3x+y+2=0 at…

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Q: Find the distance between the points ( -4, 2) and ( 3, -2). Give your answer in decimal format and…

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Q: Is the point (-2, 11) on the circle with radius 5 and center (2, 13)? no yes

A: The solution is given below

Q: a. Circle of radius 1 and centers on the line y = x

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Q: How to find an equation of the line tangent to the circle x^2+y^2-6x-2y-15=0 at the point (6,5) ?

A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

Q: A circle is tangent to the line 2x-y+1=0 at the point (3,5) and the center is on the x+y=9. Find the…

A: Given that equation of tangent to the circle is  2x-y+1=0 at point (3,5)

Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: Find the equation of the line tangent to a circle with center at (3,2) and radius 5 at the point…

A: The center of the circle is:  (h, k) = (3, 2) Radius of the circle is:  r = 5 Now we have to find…

Q: Find the points where the line y=x4 intersects a circle of radius 2 centered at the origin. Give…

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Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin.…

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Q: The circle with radius 4 and centered at (-2, 3) has what equation?

A: Given data, Radius=4 A(-2, 3) The standard equation of a circle with center (h, k) andradius, r, is

Q: What equation is tangent to the circle (x-4)+ (y-2)- 25 at the point (8,5)?

A: We have to find the equation of the tangent to the circle x-42+y-22=25 at the point 8,5.

Q: Graph the circle with center (0, 4) and radius 3. 10 -10 -5 10 -10 10+ -10 -5 5 10 x -10

A: First write the equation of circle than locate the centre and draw the graph.

Q: Find the equation of the tangent line to the circle at the point (-3, -4). Equation of the circle *…

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Q: Find the diff equation of family of circles with center on the line y = -x and through the origin.…

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Q: 4 Construct line AB whose equation is given: y =-,+5 %3D Graph the y-intercept first; then graph a…

A: Giveny=-43x+5

Q: hat is the families of the curve of all circles with fixed radius r and tangent to the x-axis

A: Given           Radius of circles =r      and all circles are tangent to the x-axis.…

Q: Find the radius of a circle with center at (-2,1) if a chord of length 10 bisected at (-3,0).

A:

Q: Find the points of intersection of the circle C of radius 3 centered at (-1, -2) and the line L with…

A: Want to find:                         the points of intersection of the circle C of radius 3…

Q: Draw the circle (x + 1) + (y – 3) = 4. | %3| -6 -5 -4 -3 -2 - 1 2 3 4 -2- -3 -4 -5 -6+

A: see below the figure

Q: Find the equation of line tangent the circle x ^ 2 + y ^ 2 = 25 at point at (3, - 4)

A: Differentiate the equation and get slope of tangent at (3,-4) ddxx2+y2=ddx252×3+2×-4×dydx=0dydx=34

Q: The coordinates of the point in the first quadrant where the line with equation y = 1.5z + 4…

A:

Q: Determine whether the point (2,6) lies on the circle with radius 3 and center (- 2,4). The point…

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Q: ind an equation of the circle with centre C(3,-2) and tangent line y=5 .

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Q: What is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)?…

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Q: What is radius of the circle passing through the point (-3, 4) and centered at the origin.

A: The solution for the above question is as shown below.

Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: Find the equations of the tangents to the circle x² + y² = 9 with slope 1

A:

Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: 6) Determine the y-coordinate of the point on the unit circle whose x-coordinate is 4 V3 7) Check…

A: Consider a unit circle centred at the origin. The equation of the unit circle is given as, x2+y2=1…

Q: À line that intersects a circle at only one point is called a tangent.

A: Determine whether the given statement is true or false.

Q: Does the point (3,4) lie inside, outside or on the circle centered at the origin with a radius of 5?

A: Given query is to find that point (3,4) is on the circle.

Q: 4. Find the equation of the circle that is tangent to the line x = 8 that has a center at (-5, 10).

A: The general equation of circle having the center at h,k and radius r is given as, x-h2+y-k2=r2 it is…

Q: At what point in the first quadrant does the line with equation   y = 0.5 x + 4   intersect the…

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Q: Draw a circle with center ( 3, 1 ) and radius of 2. 5 4 3 2 1 -5 -4 3 4 5 -4 -3 -2 -1 Clear All…

A: We have to draw the circle with center(3, 1) and radius  of 2.