Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts the a-axis at points (2, 0) and (4, 0). *

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

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Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

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: 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: 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: 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 the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

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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: 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: 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: What is the equation of the circle passing through the points (2,1), (0,5), and (-1,2)?

A: Solved below

Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Draw the circle x² + y 16. 6+ 4 3 2 -6 -5 -4 -3 -2 -1, 1 2 3 4 5 6 -2 -3 -4 -5

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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: Use the guidelines of this section to sketch the curve.   y = 2 + 3x2 - x3

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Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

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Q: What is the equation of the circle passing through the points A(-1,3) and B(3,-3) and whose center…

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Q: What is the equation for the circle with the center point M (-2,3) and tangent to the line…

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Q: Find the slope of the circle x2 + y2 = 25 at the point (3, -4).

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Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

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Q: Find the equation of a circle centered at (-2,5) if it passes throught the point (4,5),

A: Given,

Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

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Q: Q2. What is the equation of the circle whose center is (3,4) and tangent with (x-axis)

A: 2. Equation of circle with center at (a, b) and radius r is as follows. (x-a)2+(y-b)2=r2. Center of…

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: What is the equation of a circle with center (-3, 5) that passes through the point (1, 5)? 2 OA…

A: To find the equation of the circle having center (-3, 5) and passing through the point (1, 5)

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 the…

A:

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

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Find the equation of the circle passing through (7,5) and (3,7) and with center on x-3y+3=0.

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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 an equation of the circle that passes through the point (1,1) and its center is the midpoint of…

A: Find an equation of the circle that passes through the point (1,1) and its center is the mid point…

Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

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Q: Write the equation of the circle with center at  (-1, 5) that passes through the point (2, 9).

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Q: Find an equation of the circle centered at (3, −2) that passes through the point (5, 4).

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Q: Find the equation of the circle with center (4, 3) and contains the point (-1, 3).

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Q: 2. Find an equation for the circle that has center(-1,4) and passes through the point (3,-2)

A: circle that has center(-1,4) and passes through the point (3,-2). Now radius is the distance between…

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

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

Q: Find the equation of a circle of radius 3 and centered at (-1,3).

A: We find equation of circle of radius 3 and centred at (-1,3)

Q: Choose the equation of a circle with radius 6 and center (3, - 5).(a) (x - 3) 2 + (y + 5) 2 = 6(b)…

A: It is given that  The circle with radius 6 and center (3, - 5).

Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: 2) Write the equation of a circle centered at (-2, 6) and passes through the point (4,2).

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

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: 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 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: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

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