Find the equation of a circle that has y = 1/2x as a tangent line and with (0,5) as its center.  Find radius and point of intersection. then graph

Q: If (-4,4) is a point on the circle with center at the origin, find the equation of the tangent line…

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Q: Find the equation of the line tangent to the given curve with the given slope. View the curve and…

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Q: what is an equation of a circle whose center is at (2 -4) and is tangent to the line x=-2

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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: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Find the equation of the circle that passes through (1, 0) and (0, 1) and is tangent to the x-

A: Here we have to find the equation of the circle that passes through (1, 0) and (0, 1) and istangent…

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: 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 standard form of the equation of the circle with center (- 5,4) and tangent to the line y=…

A: Solution :-

Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

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

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Q: find the standard form of the equation of each circle. Center (4, - 2) and tangent to the line x = 1

A: To find the standard form of the equation of each circle. Given that, Center (4, - 2) and tangent to…

Q: Sketch the graphs of y = x2 and y = −x2 + 6x − 5, and sketch the two lines that are tangent to both…

A: Given y=x2........... (1) and  y=-x2+6x-5 ..... (2) Sketch the graph using equation 1 and 2  Here…

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

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Q: Write an equation of the line tangent to the given circle at the given point. (x + 7)2 + (y – 9)2 =…

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Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Find an equation of the circle that satisfies the given conditions. (Use the variable x and y.)…

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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 an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: We have to find an equation of the tangent line to the curve at the given point.…

Q: find the equation of line tangent to the circle (x-1)2+(y-1)2=25 at the point (4,-3)

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Q: What is the equation of a circle with center (3,5) and tangent to the x-axis? (Put a zero if the…

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Q: If a focal chord of y =16x is a tangent to the circle (x-6)° +y² = 2, then the positive value of the…

A: Introduction :__

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

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Q: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

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Q: The center is at (5,-11), and it is tangent to the x-axis.

A: Given that, the center of the circle is (5,-11) and it is tangent to the x-axis.   So, the altitude…

Q: 2) Given the circle x2 +y = 25 and point P (x,y,) on the circle, find the equation of the line in…

A: We have to find equation of line in slope- intercept form:

Q: Eliminate the parameter to find a Cartesian equation of the curve.

A: Given  x=sin(t)  y=csc(t) and 0<t<π/2 We need to find the Cartesian equation and graph

Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and…

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Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Let's.

Q: Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3).

A: Given that: The circle is tangent to both axes at (-3, 0) and (0, 3)

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

A: We have to find equation of tangent line to the graph of function: x+22+y-32=37 at -1, 9 We know…

Q: Find the equation of the line tangent to the circle expressed as x^2 + y^2=5 at the point (x,y)=…

A: The equation of tangent to a circle S at the point (x1,y1) is given by the formula S1. Where S: is…

Q: Solve the standard equation of every circle that passes through the points P(1,-1) and Q(3,1) and is…

A: I am attaching image so that you understand each and every step.

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 standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: Find an equation of a line tangent the circle

A: In this question, we need to find the parameterization of the curve and then find the tangent vector…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (-1,…

A: Given, x+22+y-32=37      ......1Point -1, 9

Q: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

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

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

A: x2+y2=25 Differentiating with respect to x, we get 2x+2y·dydx=0⇒2y·dydx=-2x⇒dydx=-xy Now slope of…

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: Find the standard form of the equation of the circle with center (- 3,4) and tangent to the line y =…

A: Given that, A circle has center (-3,4) and it has a tangent y=2

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (4,…

A: Given: