Find equation of the circle (in general form) that satisfies the given condition: Equation of the line tangent to the circle x^ 2+y^2-18x-2y+48=0 at the points where x=4

Q: Use the Difference Quotient to evaluate the slope of the tangent line to the first parabola found in…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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: The circle whose equation is ((x+3)^2)+((y+4)^2)=17 and the line whose equation is y= 4x+25 are…

A: Given query is to find the the point of tangency.

Q: What is the equation of the tangent line to the circle x2 + y? = 34 at the point (5, 3)?

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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 equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the…

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes…

Q: Find the slope of the tangent line to the ellipse 1 at the point 25 slope =

A: Here the equation of ellipse is x29+y225=1 and the point is (m,n)We have to find the equation of…

Q: (a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose…

A: Given:  A circle x2 + y2 = 92.  ---------------------------------------------------------…

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

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Q: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…

A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2

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Q: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through point…

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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: Find the slope of the tangent line to the ellipse = 1 at the point (z, y). 36 slope = Are there any…

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Q: Find the center of 2 circles tangent to g² + y² = 100 at (6,-8) having a radius of 15 units O…

A: Use the following formulae, to obtain the solution. The slope of a line passes through the points…

Q: Find the slope of the tangent line to the ellipse 1 at the point (x, y). 9. slope = Are there any…

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Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: Find the equation of the circle of curvature of the curve y = 2x" – x at its minimum point in the…

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

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is perpendicular to the…

A: Given: The curve is y = 2x3 - 3x2 - 12x + 20 and the tangent line is perpendicular to the line y =…

Q: Find the equations of the tangent line and normal line to the parabola y=2x2 at the point (2,8).

A: We find dy/dx at x=2 to find the slope of the tangent  Then we use the point-slope formula to find…

Q: The tangent line to a circle may be defined as the line thatintersects the circle in a single point,…

A: The tangent line to a circle may be defined as the line thatintersects the circle in a single point,…

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 coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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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: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius?

A: Given : Center of Circle is (9 , 15) has only 1 y-intersept. To find : Radius of circle  Solution :…

Q: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a)…

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Q: determine the general form of equation of the line that is tangent to a unit circle at a point 30…

A: Given: An unit circle with center at origin and a point P on the circle at angle of 30° in the…

Q: Calculate the distance between the points M=(-9,8) and L=(-1, 1) in the coordinate plane. Give an…

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Q: Tangents are drawn to the concentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) at right angle…

A: We have to Show that locus of their point of intersection is a 3rd concentric circle and find its…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y²5z² = 29, (-3, -5,…

A: Solution of given question is written in below steps.

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

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

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius ?

A: we have to find the radius of the circle

Q: Find the length of the arc of the curve from point P to point Q. y - , (-3, 3), (3, %).

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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 distance from the point (3, -4, 2) to the xy-plane

A: Given: 3,-4,2

Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis

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

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Q: Determine the family of curves of all parabola's with axis parallel to the x-axis and with distance…

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Q: 2. Circles with fixed radius r and tangent to the y-axis.

A: Solution is given below:

Q: the shaded area shown in the figure is bounded by the line with equation y = 12-7x-x² and the line…

A: given functions are                                              y=12-7x-x2, y=4…

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: What is the equation of the normal to the curve which is a circle with center at origin and radius…

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Q: Find the equation of tangent to the circle 2x2+2y2+3x-4y+1=0 at (-1,2)

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Q: What is the families of the curve of all circles with fixed radius tangent to the line x=4

A: Given: Families of the curve of all circles with fixed radius and tangent to the line x=4 Let h, k…

Q: Find the equations of the tangent lines to the circle x2 + y2 = 1 which pass through the point (-4,…

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Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…

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