Describe how to determine and find the equation of a circle with center on the line y = 0.5x + 3 that is tangent to both the x- and y-axes.

Q: Find an equation of the tangent to the circle x2+y2=36 at the point (5,3)

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Q: 36. Write an equation of the circle that is tangent to both axes with radius V11 and center in…

A: Let the center of the circle be x,y. The circle touches the x-axis at x,0 and y- axis at 0,y Since…

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

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

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Q: Find an equation of the circle with center at (– 5, – 5) that is tangent to the y-axis in the form…

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Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

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

A: Given:

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: 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: 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 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: Is the point (-3,-1) on the circle defined by (x+3)^2 +(y+1)^2=9? Yes or no ?

A: Equation of the circle is (x+3)2 + ( x+1)2 = 9 Given point A =  (-3,-1)

Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

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

A: Circle

Q: Find an equation of the circle that satisfies the stated conditions.

A: Find an equation of the circle that satisfies the stated conditions. Tangent to both axes, center in…

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: Write the equation of the circle centered at (6, -2) and tangent to y = 1. O (x+ 6)° + (y – 2)² = O…

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Q: Find equation of the circle (in general form) that satisifes the given condition: With center on…

A: find the equation of circle using given information.

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: Find an equation of the circle that satisfies the stated conditions.

A: Find an equation of the circle that satisfies the stated conditions. Given center of the circle C(4,…

Q: Let P(0) be the terminal point of 0 on the unit circle. What is its x-coordinate if y = b – 1?

A: P(θ) be the terminal point of θ on the unit circle.

Q: Which is an equation for the circle with a center at (-2,3) and a radius of 3?

A: Equation of circle is given by: where (h,k) is center and r is radius.

Q: What is the equation of a circle with center (-3,8) and tangent to the y-axis?

A: Equation of circle is (x+3)^2 + (y-8)^2 = 64

Q: Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

A: tangent

Q: Sketch the curves 1.) y = 3+4x-x2

A: the equation of the curve is: y=3+4x-x2 we have to sketch the given curve.

Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

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: Find an equation of the circle that satisfies the stated conditions.

A: We have to find the equation of the circle that satisfies the following conditions  * Tangent to…

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: Give the equation of the circle that is tangent to the y-axis and center is (-3, 4 .

A: Given that center of the circle (-3,2), it is given that y-axis is the tangent to the circle means…

Q: Give the equation of a circle tangent to the line 3x + y -2 = 0 at (-1, 5) and with a radius equal…

A: Topic = Circle

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

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: 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: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: Given: f(x)=arctanx x0=1.

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y – 10 = 0.

A: We will find the equation of circle.

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: Find an equation of the circle that satisfies the stated conditions.

A: Centre C(-3,6), tangent to the y-axis

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Q: Find an equation of the circle that satisfies the given conditions. Center (7, -3); tangent to the…

A: To find the equation of the circle